{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ThinkDSP\n",
    "\n",
    "This notebook contains code examples from Chapter 4: Noise\n",
    "\n",
    "Copyright 2015 Allen Downey\n",
    "\n",
    "License: [Creative Commons Attribution 4.0 International](http://creativecommons.org/licenses/by/4.0/)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "# Get thinkdsp.py\n",
    "\n",
    "import os\n",
    "\n",
    "if not os.path.exists('thinkdsp.py'):\n",
    "    !wget https://github.com/AllenDowney/ThinkDSP/raw/master/code/thinkdsp.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from thinkdsp import decorate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(17)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The simplest noise to generate is uncorrelated uniform (UU) noise:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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\" type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from thinkdsp import UncorrelatedUniformNoise\n",
    "\n",
    "signal = UncorrelatedUniformNoise()\n",
    "wave = signal.make_wave(duration=0.5, framerate=11025)\n",
    "wave.make_audio()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here's what a segment of it looks like:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "segment = wave.segment(duration=0.1)\n",
    "segment.plot()\n",
    "decorate(xlabel='Time (s)',\n",
    "         ylabel='Amplitude')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And here's the spectrum:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "spectrum = wave.make_spectrum()\n",
    "spectrum.plot(linewidth=0.5)\n",
    "decorate(xlabel='Frequency (Hz)',\n",
    "         ylabel='Amplitude')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the context of noise it is more conventional to look at the spectrum of power, which is the square of amplitude:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "spectrum.plot_power(linewidth=0.5)\n",
    "decorate(xlabel='Frequency (Hz)',\n",
    "         ylabel='Power')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "UU noise has the same power at all frequencies, on average, which we can confirm by looking at the normalized cumulative sum of power, which I call an integrated spectrum:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "integ = spectrum.make_integrated_spectrum()\n",
    "integ.plot_power()\n",
    "decorate(xlabel='Frequency (Hz)',\n",
    "         ylabel='Cumulative power')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A straight line in this figure indicates that UU noise has equal power at all frequencies, on average.  By analogy with light, noise with this property is called \"white noise\".\n",
    "\n",
    "### Brownian noise\n",
    "\n",
    "Brownian noise is generated by adding up a sequence of random steps."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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\" type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from thinkdsp import BrownianNoise\n",
    "\n",
    "signal = BrownianNoise()\n",
    "wave = signal.make_wave(duration=0.5, framerate=11025)\n",
    "wave.make_audio()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The sound is less bright, or more muffled, than white noise.\n",
    "\n",
    "Here's what the wave looks like:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "wave.plot(linewidth=1)\n",
    "decorate(xlabel='Time (s)',\n",
    "         ylabel='Amplitude')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here's what the power spectrum looks like on a linear scale."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "spectrum = wave.make_spectrum()\n",
    "spectrum.plot_power(linewidth=0.5)\n",
    "decorate(xlabel='Frequency (Hz)',\n",
    "         ylabel='Power')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So much of the energy is at low frequencies, we can't even see the high frequencies.\n",
    "\n",
    "We can get a better view by plotting the power spectrum on a log-log scale."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# The f=0 component is very small, so on a log scale\n",
    "# it's very negative.  If we clobber it before plotting,\n",
    "# we can see the rest of the spectrum more clearly.\n",
    "spectrum.hs[0] = 0\n",
    "\n",
    "spectrum.plot_power(linewidth=0.5)\n",
    "\n",
    "loglog = dict(xscale='log', yscale='log')\n",
    "decorate(xlabel='Frequency (Hz)',\n",
    "         ylabel='Power',\n",
    "         **loglog)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now the relationship between power and frequency is clearer.  The slope of this line is approximately -2, which indicates that $P = K / f^2$, for some constant $K$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-1.7846032211221763"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "signal =  BrownianNoise()\n",
    "wave = signal.make_wave(duration=0.5, framerate=11025)\n",
    "spectrum = wave.make_spectrum()\n",
    "result = spectrum.estimate_slope()\n",
    "result.slope"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The estimated slope of the line is closer to -1.8 than -2, for reasons we'll see later.\n",
    "\n",
    "### Pink noise\n",
    "\n",
    "Pink noise is characterized by a parameter, $\\beta$, usually between 0 and 2.  You can hear the differences below.\n",
    "\n",
    "With $\\beta=0$, we get white noise:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio  controls=\"controls\" >\n",
       "                    <source 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\" type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from thinkdsp import PinkNoise\n",
    "\n",
    "signal = PinkNoise(beta=0)\n",
    "wave = signal.make_wave(duration=0.5)\n",
    "wave.make_audio()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With $\\beta=1$, pink noise has the relationship $P = K / f$, which is why it is also called $1/f$ noise."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio  controls=\"controls\" >\n",
       "                    <source 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\" type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "signal = PinkNoise(beta=1)\n",
    "wave = signal.make_wave(duration=0.5)\n",
    "wave.make_audio()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With $\\beta=2$, we get Brownian (aka red) noise."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio  controls=\"controls\" >\n",
       "                    <source 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\" type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "signal = PinkNoise(beta=2)\n",
    "wave = signal.make_wave(duration=0.5)\n",
    "wave.make_audio()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following figure shows the power spectrums for white, pink, and red noise on a log-log scale."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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RiMCBF5RVMxRVDVBQpZI78hHtUp/x3AuP+pYQAlbdAuEWeOO+o2+fDymha59K7W/dMrpjuAybmGGTOIktqH3tYR7aeHjE+x3qivGNh5XDyTyKi8+01WujueeyHckr+zpHvuMomVQCdVJbUFYC1t4Lr92t4h+nf3BoS2EioyWTGM64UaVrP/cDlb49CEurlnLDwhv46Rs/5WDoYP6N9v5DueSGk6G36GpVuJvvL3Dv06qtka9weO/F44cLPg+HXlPxr5ESbgVPQKWwH3hh5Pu7jIjYSW5BPbq5mYc3qtywIz0xDnZGh7WfYWdE2XbkkMa6aSctqBEq1NM7WlmztYVfPLcPKSV72vpGtP9omFQCddLSuRce/4Jy7V1xO9SOQd+68WLacjjrE/DM96BrcDfeqdWn8p6F7+GuN+7iUN+h3BcdR7nlFlw5vHNOPx3MmHKtZWNbKoli/mUjew/+YuVq3fYwNL48sn0790LlPCWKTa+rGxGXMeNkS5I42BnNccfFstb+nUe3881HhheGt7MEyXIkcogIU0qgZPLfKYvzm49sZX9HZND9fvfKQf68rgmA7c19fPfRHcNa27EwqQTqpHPxOTZsuV9dvJe+E879NPiLxntVx5+605U19cz3oHtwN96y6mVcv+B6frLxJ/QZWXdnh9eqWFDVMCclCwGLku2Psjn0KhRPhbJRFHIXVcMFtyort3Xb0bdP0blHpbMHy5X7sWliNDG2T4L4w0jY3xGhL26mY1ATvQl2im8+spWdrZnfetTICNRIOkFYWSaT7ThDJ0kkXXyOI/nx03v40gPK9XywM8qu1uFZRUMJ4PFkUgnUSeXi62uBv39dNSu9/Hsw+9zxXtHYMvMs5bZ85ruqJdEgLK9ZTn1ZPVs7s+4cdz46fOspxezzVeynJ8sa2/W4crWNloo56ibihR8NKbQ5dCUtKFC9AyeAm29ve5j/fmq3emAlxiR5ozdqHvdjDsUjbxxhXWM3huWgicxF+GQgdbNwsDOa49LTRlBNkv0VWrbMEWgpZU7hbrYF1dwToydqpF/ThymKItlXYaxvBCaVQJ0UFpSUKg6y5iuqM8PFXz3mNkInDbPOgeU3wNO3Qah50M0WVy5me+d29aBrv6qxqjtzZOfy+JQrb8dfM8eJdkLdgI7+I6N2KZz+IXj2+6qj+lA4tur+UTFXPa47A9p3QHx0v0/HkbSG4qxr7Oavm47QGR6du7A7YmQuWK/9Arb8eVTHGQzDcvj8/Zuw7BMXC4oaNkd64gS8OgGvflKlmqcu9i2hTP3etiOhvK11BnNfpiwoKSV2slA3JR4v7e3k0/dtSG9rZMWgPLo6y5GeGAD6IKr40V+/nvM4lVT8pb9sHuqtHTOTSqAmvAUV71UJAzsfh0u+pgpL32z93uacD6e+C57+NvS15t1kUcUitndtx5GOSkxoWD26gYINq1XcJ9qlOkzUX3p8Ju/OPhfmXQzr/2fo7XqbIFiRScjwBlR8bKRxLOBAR4Rb7lvPD9fs5IXdHaw90M3GQz2jWDyEE5a6i5ZSZRbuf/a4FhJ3RQxM2xmy3c7xJmZYHO6JEvTqBLzaSRWHSl0CLMfhzDkqCeiHa3ai9RMLKSU3/259XqslZTHajsRycrP0evpZs1ZWFp9XVxLwwHrl1RhMoPqTOnZbaGxjqpNKoCY0h9ep2qDS6Wqkw2jiIJOFeRfD4mtVh4w8dVLlgXJKfCUcbN+iBKb+ktGdx1+s2h9tuV/Fn0Z7nHzMv0zNoxqqa0W2ey/F7PPgwPMjPt2u1j7OmVfF7e9cxqcvbeCceZU5d9xHRUrVqgplbZi2ozIMAbwFap7WcaIzoi5affETJ1CRpAUV9OkEvTqJE5TJ1x0x2NkydNwmFB/a3elISU/UwLQlfk/mkiz62VAp4ckXP0y57SxHpl9PZen1jxelrC3bkXiSplDAq27chitQ25tDw9ruWHEFaqwx48qNsvZeFb9YfoOqiXmzM381LLhKWVJ52gktrlzM9u0PKLegv3j051lwFex5Srn2AsfRsvYXq47qRzYMvk3nXpUgkU3tKaqYeQgXZz56OpppsDOp+lNLg+measMi1q26YvQ2EUlYJCxHZTnWLFKxsf3PjWg9Q9EVUTGNowmUlJK/bGhKPVA3caMkZtiEYiZBr47fq5+wWqifPbuX2x9X2WxSSjYc7M55vTti8Jk/bEy70LJJWUK/faWRz/7xDUzLwZslUP2FJSU8Vh6BMqyM2y4lVqmMu/5kF+h6ky4+f1Kg7n1hYKZtPovtb5tG9vsdLZNKoCZcDKpjtxonbptwxX+4jUf7s/BKZdU89S11Ac1iUVkD2w+/fGxJDaD66i37Z9WN43gz82w4mHHX7WsP893HtrM+dZHq2jfQgtJ0mHXuyJIlrATztt/Fgn2/Ul3YgSmlfppHIlApa6nxZSIJS7mE2rZDzRJl1TW9lj72sdIZVsc5mosvZtr89Y1mdQG0EvDs7aNK2HAcmRakoE8n4NGIGQ5Rwzpud/rhhJX3Qn0k6ztIWA53Pr0nx72Y+gxe2z/wJizllku5yUzbSbvcAEKxXMsrZRHls6ASVsYqSr3+5Lb8LvTU3tkxKO8QltN4JpxMKoGaMDEo24JNf4Tn/kO1/1n1L+A7vrNXOsOJk7piPs3ia9QF8qlv5yQP1IfaafJoRI9HAsmS60Y2yHC4TF8JLZuIRsP87yuN/PjpPSysLea3rzQSjUWh95DqiN6flJtvOHEfKeG1uzksq/DVzFdd2IGqQj/huJU/1pIvCSPcqlLsD76kBCptQS1Uxc8V81Q6/3GgM2Lg1TX6juLaSqVUW45UvREBrIGWxpDYJsbOJynWTQJePceC2nokxG9eHka25YbfQV8rTd2ZDLoH1jdxIKsm6D/X7MpJB0+/h4RFoV/FR1NfZ3tfJi6Teo8RY6BYZ6eGlxZ4MWwHn67xk/eeRk2JP328f+xoY39HJG055bOgUlZTdgxKrWlgX77UY0dCcUB5czz64FJgnMBkl/5MKoGaEISOwJNfU+6dy7+n0quPM28c6uFrD23lx0/tOaGZUmPGKe9UgxGf/ndVrCwl3l1rqK89nV3du8Z7dYMi/cUc1qZzzx//gpSSb1+7lOtW1LGsroy/v/gaFE/LP5m3Yq6ypDqG8d52PorVfZA1hW8juORK2LUGAE0T1JT4Bwapo13w4L+kC4K/8uBmJWJ9rcpdahvooUMEjE6kZUDJdLXfnPOPzc0X6Uj3P+yKJJhVWXBUF180oba3HQlW0hI5Wif6/qz5KrxxH6eYmygv9CoLyqsTNx26IgZtoXhOGnVeWrcS72nmW49k6tu2N4fY2dqXds11RRLsag3n7JZylVUXq+845ZLLjg1Gk8KUeq/ZZFsmHk1g2hKvrhHw6jmxoG3NIZq6o+nz5bOg7KzX7ByByt3u6w9tSX8ejpQU+vScdQKs2dqSk+6e6t03HrgCdbyQUl08nvya6vN24ReG15ZnRKeQPLmtlf95+QCfeWsDAa/GvS/uP2mKEofk1HerLulP3wZH1oMVY+Gsi3ProSYQraE4//nkLp6KzuWG2iN8YNVsipJ30u84vY62A9vo8A9itQmhfiN7j9J1vWULbHuI5lNvobK0GDFtBSR6022jppQEaO7tZ3E0v6EGToYOEzdtmnviarxCuCU9dLK6ez3TjEbsqgWZFLK6M5RFZY7Qgknxyl3QvBFQMahZlYX0HcXFl7IqbEdmztvPgpJSDt7UVEroPkDPqR9jQewNKgr9BLw6fo/K4utOxsJ2t4Xz75/CMYlFI8n0bHWuUMziyW2tfPXBLdiOqiPa0+84Zj93ZGqZrVkCFTNtAj6dfR2RAfGp7JtLTYiki099H56s5tAJUyW1pGNQeW5KsxMosi2o/u2Mmrpj6feRSkmHTAwL4P+9fiing4XpWlAnOdEu1SVh3zPw1m+pBIDjnD5u2Q6/faWR53e386UrF1FfU8xN58+jM2zwp7WDF76eNAih3KE1C+HZ/4D5V7C4StVDTSQBNiyHhzYe5ra/bWfp9FLe+853UtW3PaeFUZHfwyVTwjx+pHDwjg1zLlCZhcYgvdbivfDSj2HVLRwxi5hSGlDFJ/WXwu4nAZhaGhiYyde8EXQf9BxKxz9CMVNZUEVKoKaHNlJn7seqXJjZzxuAyvrRZ/OZcQi3IaWkK2Iws6KA8NEsqJRAycEtqGd2tvPgYM1TrQToXrpLF1LmdDFd76HAl6mD6ooazK4qTHdHGPR3ZBvE40oYU1ZNX8JMC1xf3MSra+xrD+f0n0sdzurX2y4VgwNlOVUV+mgLxbnz6T25y8/6bYiUQCWTJLItqITlYFgyb5KEkY49Jf8vZfrfqcf933dqHykhZcQNFWfK51LM5qU9HUO+fixMKoEalySJg6+qPnqV85Q4lUw77qeIGhZ3PLWbjrDBF69YRFWRcin4PBqfuqSBTYd7WLP16DOYJjxCwGkfVIMR517IlIIpCCFojeYP9g6X+3fdz/9u+182tm0kYY++bmPrkV6+/vAWmrpjfONtS7hsSS16sFTFb45szNl2tmghVjKHp7YPsvZgmSr6bXwx/+u71qjMw6mn0hKKU1sSUM/Pu1gJWyJMbUkgN5PPsdXE4XkXQe+hdJA9FDeTMagpUDEX03ZYaGzGqFiQe84pS1Rnk1FgmzFkXyuhmEXQq1NR6COcGF4MyrZlWphe2tnEG1n1XeGERbyvW80bS5YkdIQTrNnaQldvCDwBopagp6iBi6pCnDm7goBXw4r24mnfxhmzy9nfHmFPWx+3/H5Dut6n3+JJpAXKIW7aGFbmohyKWdQU+3nH6XU88kYmey0lSGaq7iipC9nWSNS003+v/cm2TNpCcZ7d2Y4vGQvy9BcoO9O+KPum55O/Xce+9nC6F99X/rIl14JyBg91OjLjphzMSrr7ub1897Ghe+61j7JgfDhMKoE6oUkSRhRevgs2/g7O/7/KRTWaYtKj0NYX5zuPbqe2NMC/XtJA0JdbaFrk9/CZS+ezZltr3kyhk46U+8sbQAjBoopFbOscQe+7fkTNKC8deYnpRdN5/vDzfOn5L/HTjT/lhcMv0JsY3o1Mb9Tk58/u5X9eOsD1Z8zk5ovqqSjM6jQ/cxUceiXz2IwhIu1cff6Z/HVTczrtegDzLlEp8P2xDNi9RhVyo0Z0pwUqUKqGKe5/ltr+FlTHbiishtpTobcpHQMK94XAMcFfgmFLdvtPQdM9xAv7uSCnLIXWLcRNe8Sxza0H22g+cpCOSIKKQj/FAU/6/JubevnbpuYBrrpIIitJwoohkby++wibDme+F9N2kLEe1ZHj6W+DGWNzUy9PbG3lZ09vA4+PmGEj/IXUBBxq+rYytfNVCrp3MLPtaRZPLaUlFOdgV5SSoCe/u882ScSVJWvZkr64RUWhl/m1xVSaLSR2PEFp0EttSSAnYcDpZ0GlYlDZ28QNOx2j6o+Vx2pJZfFlW1CG7WBaTjqpon+/vO6omWs1ZX3O9hDeB0fK9Ov5BEpKyZbDIaJHcdV6xnBW3aQSqBNG2w6VPq57VffxqoYxOc2etj6+9+gOLlpQw3vPmjVoEV1lkZ9PX9LA719tPGEFdCeKxZWL2d41+iLSrZ1bqS+v5+KZF/OpFZ/i2+d+mzOnnsnu7t3c9spt3P767Tx+4HFig2SPvba/i689vIXKIj/fumYpy2aUDdxoxhnKgkqlaXftg/JZ1JYXccmiGn7/6iCZZFOXgdGnts9m/3OqxippjbeGEsrFl6JhNex+ktoSP62heMaF07xRjSQprYOeQ+kCUbPniHLvCUHUsDhQdibbyi/B7H/tqpgHfS088MoOXtk3/Jsdy3aIx2J0tDTRFTGoLPLlCNSGQ92s2dbCD9bszMk6jObEoOJEEjaWEaGpKytAbztYRlxlQwbLoHMPvTGTs+dW0NcXRuoBooaF5itQmYCdeymLHSQSiWKZJtPLgwDsbYswu7KQmJEn69ExMRJJC8pxCMVNigNePn/5Quo5iDj4MiVBLz6PlpMwkLagUs1X04KV+WAjhkXlIBaUlSelPhODyrKgTAfTdtIZ+L9/9WBOqytH5sadst11jhy8s3nUsHg9eVNr5EmEiJvOsCIVqWCPV3sAACAASURBVFT1scAVqJFgW7Dx9/Dif8HpH1bD+byBo+83Cl7e28mdT+/hw+fO4ZJFU466/YyKAj5+wTx+/uze9GTNycD88vns7dmLaY+u+eiGtg2sqFmRflzgLeD0Kafz4aUf5jtv+Q7XzLuGpr4m7tl8D5aTe6do2Q6/f7WRT1/SwDtPr0tX2w8gUKoaySaTBLILdK88ZSpHeuM5bqs0QsDci3KtKClV/8Ck9SSl6r83NVugqheA7qWgYxN+j053qpXNkQ1K9IqmQCJEJNyH36thh1qUew/VccEprGF35UUDL0q6B6oX4unYnjP24Wgc6YkTECZWqIXDXVEqC30U+T3p2qHWUJyPvWUuCcvJGecQSbn4pLKgeqIGK6cFaeqJpUXXsCWOGVdxtfLZ0HOQUNykqshPocfGEF5ipo3uL1RxLDPK9CLB4Y4eCnQbXRNMKQmw+XAvsyoL8pdm2CZmQlmiKQuqJJl+XS57sKI9lAa9+HQtx9JwHFVH1H++kmHbNHaqAZsxw6SsIH9hfr64T+omVM9OkrCSSRJZ1tBf1h/mvtfU7LSfPbM3x2rKtlSjCXtQF1/MyLyXfGtJWPZR44iQK6bHG1eghkvPIVjzZeg9DFd8X42QGAOklDy44TB/2dDE5y5bwCl1w3dXLppawg1nzeKOp3aPupHoRKPAW0BdUR27e3aPeN+EnWBn105OrTo17+sezcOCigV8eMmH8Wpe7ttxX05A+Y2mXmpLg8ytHsYIlBlnw8Gkmy+rxZFX17hm2bTBY1HzLlbFvqnkgMPrVOuhZFF3b8zEqwsKfFnuYyFgxfvh9V8yo8hRcahYt2qqWzVfvV46A6fnINPLgqpzflEtkKzb8XkGXGzT1C6lpGfHiFx8+zvClPoFRQEfr+44QEWhD4+u4fNoRA2blt4EU0sD1BT7c/rCpVxHti2RRpTemMmyWj8Bj05HMtHAsh1sK6EEqmwmdDfSGzUpCXqo8DnEpZeoYePxJy0oM0ZAWNRXein0qO+ypthPJGExq7JwYAskKcGxMA31+Zu2Q1/cpDigPu8y2YsT66U4oCyo/i4+v0dPW0wpgTrUFeMn/9gDL/0Y2dNEScDLhQtrBrjn87n4UhZetlViWA6GnZv8ALDhYOamJ1ugsq2pL/9lM62D9MvLFjzDtqktzb3ZHu7gx6FqqI4VV6COhpSw41F46pvKtXL+545vy5wsDMvh58/tY+uRXr581WLqykde3HvmnApWL57Cj/6+64Q26xxLcrqbj4CtHVuZWzaXAu/Qn6Ou6Xx46YdpjjTz6P5H08+/uKeDtzRUDe9kM85UFoxlqBlQlZnZVctnlrGvI5K/J1tBBVQvTBfgsuOvapZV0rfS3BvPde+lmHoq1J3B+T0Pq7Tm5jdU0kUqDlpah+g9zPSyIFqkTVlVqKSDQr8Hr67ldeswZQnl4d3pwD+gsuW2PqgSMJyBFsjB1i6CAT/F1dMRkXYqi1R8riTgoTNsEElYVBT6KA16Vcp7kmiWBWUbMSIEKPPazKgIcihZNGvaDraZUN3py2alLajSoJeKgCTqeJRABQpVqroZBSvBimkF1BYpQZhSEkAI5WUY0OU8aZlbSRef5UhaQwlKgsrqKXW6IdFHsU/gFQ5aVtzSkapuyXLU/KnU9T5qWBhJC7Q96lBd7Oddp9dh2TInHpnPxZeKbWpZvjXbUe2Lthwe3H2fLUprD+S6Z/s/BvXzynZXWrZk1bzcovh8xcX5GKoLxbEy4QVKCHGtEOIXQoiHhBCrT+jJI53wj9vUxWP1v6u2PGPUfbw3ZvIfT+xAAP/3soWUBkffr2/1klpOnV7Gj5/anf8idJKxqHLRqOJQG9o2sKJ6xdE3BPy6n08s+wSvtbzGy0depidqsKu1j9NnlQ/vZMEy5YJqfEEl0BRPzRzbo7OsrizvhQLIJEt07lV9+mZkirtbszP4+rP8vdQ4LVj7X1AxsGlZ77VsBp6+JurKC/DG2tIuvqhhpwUqrwVVNhuP2Zfpj2gZqiNK61bl3n7o5gG9E5s6ewkGC6mqnUkl3VQUqphLkd/D3vYwU0r8CCEoK/DSG8tKwTYshEgO2DOixPRSMGPMKC9Iu6lNWyLNBOh+KJ0BoSZC0TglAS9lXknU1okmLLz+QiVORhTsBFMKBLPK1MW+psSvXII+HcPqN8zQTlpqSQvqjUM9vLSng9NmqlhjkdWD4UCJFifQuZVVHQ+kd3WkRNeUmKRGXEDSKLNNlYQQD1MW8OD3qM/7//7pjfT+/dO3z2uoomGK6jvp7RfXMS2HR944MvD7Sr1uO1y6+OihgBS6JnLT1W0HTQjqazLegn/saBvWsSadBSWEuFcI0SaE2NLv+cuFEDuFEHuEEF8AkFI+KKX8GPAh4J9P2CIbX1Lp4zWL4dJvqiLHMaKpO8ptf9vGkmml3HT+XHyeY/9a3rWyjsoiH3c/t3fwQseThBnFMwgZIbrj3UffOIlhG2zv2s4p1acMe58SXwmfXPZJHtr7EH/e/CqnzyofPO6Uj5lnw6Y/qXhUvxuZM+dU8OpgiQfTlquL/uu/VIMZs0aCtPT2iz9l4/EROe2T1O39f0kLalnmtdI6/JHDTC8P4o93pF184YRFoU9XAf88LiYpBAf0Oczb+z+w42/w/A9VY9wLvwiXfzeZgJFJ+khYNl09fRQWFOAtmcL7TilgVoWyWIv8Xna39VGTFNiSoDfHxRcxbIr8HjWi3IwR9SiBqisP0tSdSft2rITqyOENIIMVaOFWSoJeSn0OYdtD1LTxBVMWVEyJqp1QmYvAginFXLywBiEEPo9GwnLoiRp0hBNpgZJmlKtDv6ejN8TS6aXKrWvG8GHRpVVSTASvY6DbmWQaKdWFXllRMilYyUF+VhzDcrih5+do63+Vdzpu/xuE7CSo/glRRxutkrAcykZwU6trIuf8vVETTQjee9as9HMv7z3KvLNB1no8GS8L6tdAThdQIYQO/AS4AlgMvEcIsThrk68kXx87En3KTfPiHaqX3oVfgKVvPz4zhAZhc1MvP3hiJ9etqOPaFdNHNOZ5KIQQfOTcOcRNh9+9dnBCFbuOFE1oakbUCNx82zq3MbN4JsW+kXVCry2s5aNLP8qf9/6O+dNH2Dx1xpkqFlQ5cDT9kmklNPfG1UWxP5quUuv7jqikiSxaQnGmDGZBAZUzFrA2uAqKanIHX5bOpCB2hCmFGgEnQsKvLIJIwqLA78Gri7wWVMy0ebr4bRwpPwP6mlUm4apbMhPqCqtzBjUe6opSV6KheQNQWMMUEUrPMSoOeNjTFk6vv7zAl+viS1iUBL3K+jBixD0lYMWYVpbp1G7aDo6ZQOrKGrJKZlJtNxPw6pR4LfosnZ6oQWFRsYrjmRGVLGEl0u67yiI/q5cogfZ7dOKmzQt7Onh6e1vaZemLdzLf3EF1ywuZG8REGMtbRFQrosCJ4BE2HieR/ltypEQIgUcXyTolme4KrtsJEpajjrV7Tc5nnE4A6efdyHbrjfSiHzdt/N7hX851TVl02dcbTWS+5pEw6ZIkpJTPAf1vJ88E9kgp90kpDeAPwDVC8X3gMSnl+sGOKYS4SQixVgixtr194IyhAdiWcqnsegJeuhMe+TQ8dAtsf0T1J7vi+wM7UR9nntreyq9e3M8tF9cP8P8eDzy6xs0X1bO3LczfNp+Y9vhjxaLKRWzrGn491Ma2jSyvWT6qcwlzKrO8l/BY0/+OyGojWK7iQNULBrzk0TVWzi4fvFZt4ZXwls8NaCrcGooPCF5nU1nk5wXvuRgXfT3neRksR1omxZFG4r4K+hLqYqisFmVB5XP/hhMWca2AprIz4Iwb4fQP5t6gFVYpN2SSfe0RZpXp4AkokYxk3EJFyRhUykVZGvTSkxQoKSURw6Y44MF2JI4ZI+EpUUkOWeMyLFvikQa2UNZBNFDLtOSlo1i3OdznkLAcairKMi4+K5EjUNmoYYYOCTOZFZe0oAJGF7ruYXrXyxmBsg2Ex0tUK6RAhhGOhR+T5t44/3rfBhypLupeXVNj1h3JfEMVOvukMaA7eYqE5UDLFrSm13Kez77Qj7S2KGE5+D0Db6SzvTHZN6m6UE1tZ1dmfm+aEKOqaRpLC+r4V5aOnunAoazHTcBZwKeAS4FSIUS9lPJn+XaWUt4N3A2wcuVK2e9F9UfVsVsFsDt3Q3ejcttV1quMqUVXKx/3GBadpbAdyR9eP8j25hBfuHIhNcVjk6oOavzAv13awHce3U5Z0Md5ww36TzAWVSzi/l33Yzs2+lEsWtMx2dq5lesarhvVuV7Y3c41C8/DV1LOXRvv4jOnf+aoiRYpus7+BAdCjYQOPUNvopeQESJkhDhn2jmcNaee37/ayJWnTB24o79YiVsWlq0anlYPUkcD6uJQXRKgNQozsn5GUdOhxzcFb/N6jEA1vTGVmh1JZvF5dS1vl+p08exgrW8Kq3O6ZhzojLCy2AMhnxKocCZbsSSZCVdbqtZfVuClN+niS1gOuhD4PbqyoMwYce8sMBvxe7X0+AjDdvBIE1N48QB9vipqhLKki7wO3Ybg1OmlCG9BJkmCpPA4prKqWjarrhzJ88VNm4SlLJ6UQHnsGLGiGXhjXZmhgY6J0H3EtCKCVhi0AH4MNjX1EElYOI5EFwKvLrBsB2lEuLTz97xR/jW8TgLDdjIX76zkklDcJPDiHcxuboGir6Wfz7WgMh95TYmff7mwnm88PHiXj4Tp5Aw7zBwnc8yvPpSJqDhS1fhlx5x0TYzq8jeWQ8EnUpJEvrcppZT/LaU8XUr5icHEKX2AVKujnm5o3qQmqT7zfXjgJtXE9eDLKgNv2Xvg7b+AK/8Dzvq4Sn4on3VCxClm2Pz3U7tp6Y3zpSsXjak4pSgr8PF/3rqA+9c3sblpgszKGiGl/lIqAhU0ho4+PmFn106mFU2j1D/ybMu4abO2sZtz5lVyycxLmFkyk7/u++uw9jVtkx9tuIPXW9fSFm3D7/Ezr2we04ums751PfOnFBFO2HmH1+WjrU91ZThaEHpqaXBAT76+uEU0OA2aXscqqEm3PYpkZfHlc/FFkpmfg45YKMi1oPZ3RKgrESqJobBaxdKS2WmpUQ6pGFTQq8QobtpEDZsCv+ranepmnvCWgBXHl5VhaNoO3qRAAfR4qqh0lIuxULMwhU8VT3sLwAirRrlpF58FHTvh+R+ooaFAqYjhtO8gYdlKoBwL6VGjLYzgFISVwC+S2Wu2hebxYnqL0Y0QOBY+TA73qM9aSuVK92gapiORVhwNCDgxvNLAtDIxKYww/3bpfKaWBVQBs6YSNlLp7EDOiPfsOighBDMqCoYUgoRl57Wgsq2y5p7MbyT1PU+J7ODm86YlzzMyy+0j581R++W9dB8fJpJANQEzsh7XAYOnrQxBQaJdiZMRhbkXqLEX1/5UpYgvuVb1HBujAtuh6Agn+M6j26kq8vHpSxpya1vGmNrSADdfVM89L+zLKZY8mRium69/ce5IWNfYTUNNMWUFPoQQvL3h7axvW8/h8CANS7N47vBz1BXV8fFlH+fdC97N5bMv55xp53Bm7Zk0hZsQQnDWnApe3Z8/+Nw/TtgyVAZfFqqrea5AheImRuE0CLcii6YQShZcRhIqi8/nyS9Q4YSFz6MNbUFFOpLHsgjFLKoCqCQG3atuAJ/5Drx4B0U+naBPpzjZ5T2VyReKmWlLzpPKJjOiJLxlYMbTGW9SSixb4hM2CUcdo1NUUGZ1gJT4pMHM6nIWTS1R53ds8BUpYbLigDougTLo3g9AnbGH4O6/YVjJ7uC2ge0pVNmEvhL6KKRQJv8+HBOhe7H9pap5r20qgUomcNhSogmBrgl+8dw+1eJKQBHRtIsvLRCJPk6pK6WqSM3xQigLtrzQR52xF03aOVZTtrCkfhdDudLihk1xaOD4Fl3T1Gfl5B9jcv7he5jX+Y/08fURmEOpNb5ZLKjXgQYhxBwhhA+4Hnh4JAdI9eLzTpkPb/0mnPZ+lVlVWDm2n+Iw2Nse5juPbuctDVW87+xZY5qaORj1NUV86JzZ/Pip3bT174J9EjCcRAnLsdjcvpll1cuG3G4wXtjTwXkNmXhgobeQK+dcyZ92/mnIRJOoGeXJxid527y3DXhtSsEUehO9xK14Opsv+1hSSv7w2kG+9JctObVSLb3xtHtsKKaWBmjt7W9Bmdgl6n5PK6nNtaB8Oj5dYFoD308kYVFW4Mup0ZFS8s1HtqoBhAUVkAiBbXGgM8LMygI0x8jMvTr/c7DgCmhaS02Bw8La4pxAfGnQS3fUVBaUL2NBSSuO4SsFK5a2SgxbNUkt1FXHCIBuy4/m9UOsG2EnuGblXJVpKQR4gyqGp3tUwhOAEVGimRznEdRsHFMlMKQFylukUsV9xUS0IgrsZL8+20TTvYhAUqAcCw8OLd3qdUdKNKFE/VBXFNuIIYBiLYonW6C8BdBzEFq3EfTq/GVdIy2hBLYjKfJ7uK77V9Qntg6aJJH6qfS/ZtSYmca3leYRal77HgCXL81kHHs0weL4ej7e/u85+54/vzr9by3ZQFkTAn0EbYtSxcTaGF5bxyvN/D7gZWCBEKJJCPFRKaUF3AI8AWwH/iilHFFr5Qk38j3Jq/s6+e+ndvPBVbNZvaT2uGXqjYYVM8t52/Jp/Ojvu3Iyqk4G5pbNpTXaSsQc3ALc1b2LmoIaygPDrF/Koi0Up7knxrK63H575047l6gVZUPbhkH3fergUyypXMLUooHxJV3TqS2s5XD4MLMqCxBCpK1Yx5H85uVG9raHWT6jlDv+vjvdr671KBl8KWpLAxzpNxcqFLOQySnCntKpaeGLGBkXX2IQC6osOd01hWlLDnZGeXpHm0qYCJZBtJP9HRHmVBYqd1pKoCrmwvTTIVDC1IDNLRc3KLFITvktLVDFulHDosDnUQJlmeDYWL4iFTOSMp0ObtqSAt0mIZUF1RM1kMVTVYahZajkjBTeoBIDT0CJKKheh4HS9DgPv7CwLTWN2nakOq+nEE0TSF8REa2YgJ0UN8dE9/rRgqXqeI6lkiLMEKvCT2I7Ek0T6bEcdiIKAkqI4pOpGJSmPq8X74Cnvkmh1c21O29lb0csXegL4CByRCnbgkp1qMh+rtju5p+7siMeIi0U2R0rdF0w3dg/4Hu+aEFNajd0RwmUEAxpQVWaLRTamWLhlDtw0llQUsr3SCmnSim9Uso6KeUvk88/KqWcL6WcJ6W8bRTHnRgj35NIKXn4jSP8eV0Tn1u9IH+j0XHgwgU1nDWnMudieDLg1bzMK5s3pBV1LO69F/Z0cPbcygF3qrqm86757+KB3Q/kHdfRm+jl+cPPc9XcqwY99oziGRzqO4QQgrPnVvDa/i5sR/LLF/bTGorz2dULePfKGUwrC/LzZ/dhOzJZAxU86rqnlaq07Ox6t1DcJFhcAfWXEiirJRRTQf246VDg01UMKk8WXyRhUxb05rj4UsH+p3e0qd9LYTVE2tnfHmFOdVKg9H6Wnq84Y8XsfBxeuxuACr/AaVqXLBhOTo41Y9iaH133qqudbaazDE3LoUCzSEhlQXWEDTxl0yHUrEQne2JxWqD8SYtJDLCgApqDYxkYlhpf8cSmgxyKaGgCHF+JEigreYNrWwT8fkrLq9IWFAJK7U6WxNdjWLnNVO1EBIGgSEbwyQRSJkUlmLlZ8iZdbZYEJOkhlxItRxz0HIFS/08JwlsaqlgxM/daYgs9HcOyHcnS6aXJfQTFzsAaqux1pywoXYhB3Yi6Jrih606u6r1vwBrHMIlvQrn4jpmJZEEZlsM9z+/njUM9fPmqRcyoGHnborHkmuXTmFER5K5n9p5UY+MXVwze3dx2bDa1b2JZzcjde44jeXFPJ+fW589ybChvYF7ZPNYcWDPgtcf2P8bZU8+mIjD4BOW6ojqa+pRL5qw5lby2v4ufPbuXcMLi3y6dT8CrI4Tgg6tmYTlqOKWqgVIX4B1dO3hg9wN5jx306RT5PTk1VqG4pQLwZ36M4sICQnGTqKncakKIIZMkygt8Ob8Jy3YoCnhYWFvCs7vaVaJEtIP9napDeI4FlcJflBGoRC8cXg+RThp6X6Rm9x9UPVbSgpJmHFsPqAuwNwhWLC1QluMQ1GwSUlkF7X0JCivrVM3YYAKVEktfASTCSQsqAVLiFybSSrn4HOLxON0JgdR8OP5ioloRfrMPDr0OkTZqyop417lLkzEoA9uR+GQCP0a6+0IK21AiWEgUj1QWq0cXKgaWJOU9kVJlzN1w1kwWTS3GEVqOZyW7F1/KxXflKbW8dfEUPnTuHM6dp36nIjmEqqTAj0/XWF5XyuzKQj7z1vlAMjNPDvyeU2ImyAiUz6PhefVOPM7A+r/UenSZ8bqkljuWHqFJJVATxYIKxU1+uGYnpuNw6+ULKCvwHX2nE4wQgg+smo0uBL9+6cBJU8i7uHIxO7p25F3vnp49VAQqqAqOPJV+65EQZQXeIW8krq2/lucPP09HLDNBtC3axvq29Vw2+7Ihj19XXEdTWAlUbWmA8mTPtVsurs+pVUnVru3viGDZktKgFyklj+x9ZMi5WNPLgxzOyg7si5vpfnIlwazEBL+60Ps8+Qt1My6+3KmtXk3jqlOmsmZrK1awknBnM5YtqSryqa4NAwSqWGXVAcRDSiR2PcaMlr9jmUbagvJoAmnGkgIllHvOjOH3aMlWSAK/MIlLVdDbHTUorJ6ZtKD6nddboEQq5fbzFao1eIMqLmUl8AsbaRmqDsoBbJOIhSoE9isLym+FYNdj0LoNNK/qA6h5IB5SSRtOAi+q354m4P+snq9chEYUR/NQZnfhIdn0VROqdiyJSJZISCEQiOSIeh2JyLFE8tVPXbJoCtefORMAHSvn/1d0/w6AT100V3lq/vhBZid2DFpEq+WxoAJeHdH4AmX2wAm5qaxCkWd0x1gGLCaVQE0EC+pIT4zv/G07C2qL+eQF8/Kmfk4UdE3w8Qvm0tIb54H1R89SmwhUF1Tj1bwciQxM8NzYtjGve+83Lx/gly/sZ8vh3kFHsL+wp4PzBrGeUpQHyrl45sXcv+v+9HOP7H2Ei2deTKG3cMh9pxdNpzXSmh7p8bnVC/jkBfPyXogCXlW7dv2ZMxBCsKt7F2EzTFe8a9Abiell/QXKSqcwlwQ8hOJWss2Res6n6zkilCKcSpLIjkE5Eq9HMLOygIYpRTzZKOluP8ycqkJ192zF87j4si2oPlj0Ntj+CKKklmg8wWsHuqgu9qsLnxXH1v0qQJ+sZ/J5NCIJG68u8EmTmK3RFTEoDXqVi68v5eLrF4PyFShBIXksI6JEzKMsM7+wkbaRSTO3DUKGoKNkMU6wkphWhM8Mqf2MsMpMBCWw0U4sR+KXcXQkhqnaAy2ZVkp1sR/HjNFUejrTY7spspVbTQiRbtQLoCWFS0iZk1bukHudKEjGkT5x4TxuvTxP4Tfq+/FI9XuqsJIF0sn2TlhxVkRfYmHP88ikhHyq9SuZdWXJipbcx68r0Uy/ZzJWUsqg08j8LlLWo2tBDZPxtqC2Hunl9sd3cPWyabz9tLpxTYYYLgGvzr9e2sDaxm6e3nFso9VPFPmy+RzpsLF9YPeIg51RNh7qYUZ5kAc3HOazf9zIb19pZE9bX/piH05YbD3Sy1lzB3fRpbhkxiU0R5rZ1rmNg6GD7Ovdx0UzLjrqfj7dR2WwkuaI6ugR9Ok5FyjTMWkOZ7p9lBX4eEuDyrR64sATXDHnCjyah7CZZyIsSYHqzghUKGamZxoV+T3ETZtQzKQgGfPwDmJBRQ1lQWW/ZliZjggfPnc2TUYBu/YdYE5VUpQtI78FlUiuNdGnSjsaVsPy92KaBpctqWXV3Ep0DYQVxdICKgbjDYAVx+/RVcq7ruHFJC49tPcl1HTaoimqFsuMqTEcKbwFGRdfyuoxwuqxNwBWAp+wwFIJDLYjEY5JnyHYOusDaP4i4loAjx3LCJTmybyfmOoqUqQbqhu4EU9fpH26hmPEiPoqmTNvPrVaVtwnR6DUb07g5FgxOhaBWEv6cdCrzjursiBvooyeFCZdWlx16tRMPaWdcc+dHjjMpfEnkFnXoUJH3TSkzi3IuAn9ulqbHxNvMnEiFfdKxWVFnhskNwZ1EvCPnW3c8/x+Pnlh/aBxjIlKScDLZ97awF83NbOuceKPjV9UOXAM/L6efRT7iqkpqMl5/m+bm1m9uJbVS2r5yj8t5ktXLqI06OXXLx3g1j9v4k9rD/HopmZOrSsdVl2aV/fyjoZ38Oddf+bBPQ9y2ezL8Pe3HgYhOw7Vn9eaX+P7r3+f3d25c6/29+6nPdbOyikrqQxU5rgXs5leHswpAM62oIQQFAc8NPfGKUzemQ82bqMvblEW9OaM27BsB1/yAuX36Fx/0WmUOD0sqE32ObQTuZYMKAsq5eJLhNQF/oyPUj1jAafVFXHB/GqEEMqCMmNYekBdBD3BtIsvkrDw6BoeLKKOTkc4QVVRst6qoEIdP/u8BZUqPubxq+d1X9KC8mVch8JGWqaqg5ISHJOE1Al4NTy6IC4K0K1Ism1SJGNNePxgRKgtDfCWWQUqLT1LoNKuSs1Pgd+Lk91mKUugUpaPRrIPXvKCf17fEyxa9430dqlMvMFSuDUyAvX2ZVMyBb92ZkTG1NIghX4P2U64lKWWuTkSCKmsOq9U4va27l/zwc7/VOtNxZ5S1hIOZVYHQTuMnoxVvVkKdY+Z8XDxOY6qYXlyWytfvGJh5o/2JKOmOMCnL2ngf19uZFdr33gvZ0jml8/nQOhATkbdhvaB2XstvXF2tIS4cEGm5qOmJMDVy6bx7WuW8q+XNCCEYGNTTybtdhgsrVpKVbCKrngX50w7Z9j7zSiekY5D9Wdb5zbOqD2DX275ZU5R8JoDa7h05qV4NA+VwUo6Y/mLfGtLA7SGEli2g2U7RJOdwlOUBLxKoPwpF9/AGc21nAAAIABJREFUJAk7meVXEvTmuPiMfj3listrWVkjWZT6rVvJeU3ZpJIkpFSWlL9EPa950GUmc1QXAmElsIQvWTOUsqA0IoaFV9fwSpOYk2VBARSr7gc5AnXKO6Hh0ow46V61Bt2fFqgC3cI0DXAcHEciHAtbePB7VEZhQguimxFV4GtEVAwqdR4zSm1FGfMrPCrZ0IilrQePriHMOLYeBKHhExKPxwtCV2IKIDT0lEBJFb8i6fJNx33+9GEIt6dvJAYIVKQTEn14kp+hjpVs75TEyS0dEZB28QE4Qidoh/E2vZLZKCmmHltlGAacGEFHlUGUOr2UWp3p+iiB5P2d/8WNHd+jfMuvQMq8canjxaQSqBPt4oubNj9+eg+HuqN8+cpF6ZYuJyuzKgv52Plzuesfe3LiGRONgCfArJJZaWtDSskbbW8MEKjHtjRz8cKavCMzUu1j3nl6Hd+57pT0HJ7hIITg/YvfzyeWfQKPNvxuIHXFdRzqOzTgecux2NW9i7fNexvvnv9u7tp4Fx2xDo6Ej3AgdCAtgpWBSjrj+QXK79EpL/TS1pcgnLAo8us5LuaSgIeW3lhatPJl8anaJB1/spNEygVq2jI3VubxIXxFaZdX3hhUKkkiFQNKDVLU9OTAJHVuXRMIK6ZcfJpIWlBRfB6NcMLGp4FHmkQtjfZwlkCVTFXut3yteTw+dU7Nq1xeHr9y/Vkxgpoq/tWllSzUNbGE6qzh1TXiWhA90QuoNkjpdXv8IJ2kZRhJZsPH05aIVxdIK4aj+UBorJxZzILpFer9arrq9RkoTYuzRjID0Ok3FNCMQryHgE9ncWwdvj2PZV4zIvDQv8Dfv4mWPI5HWukUemDg8VBWT/plBCujzxF8/U71mgCkzecuW0C5P9n/UM8kCl3T9lM+0PmjtBDnxKCMPs6IPkPhzj8P/A6OE5NKoE4kXRGD7z66ndKgh89cOj99Z3qys2RaKe8+YwY/enJXzvTPicaiiswQwwOhAwQ8AWoLMxX0XRGD9Qd7uGTR8Ie4jYRiX3HO+YZDXXEdh/sOD0h02N+7n+qCaop9xZw25TQum30Zd264k4f3PsxFMy7Cm3QzVQYr6YoP7oKdVqrcfH1xK53Bl6Ik6OVIbzwdfFdp3LnrUG2Q9KTrLTPQzrSdgTPKsrua54tB+ZIxqESfEqsUQqgLdvJC6tFUkoWp+dW/S6dD1358unLxeXWJpmnEbI32vqSLD5QF1d+tmEL3J//LEpdkDMovLJDgxcCWKgZlowYKejSBLbwIPeuGJtuCAnUc20QIgW0k0kkENbH9SNtU2YBCxyccvF5/Joa18Cpw7LRYpAUq2xWYup9wLAq8OueFH8e/6beZ15+9Xf2/91Dm85NmrkDZuX+zQsB040Dm7UgHn0zkOuUci0V9LyOSx9GyLKIg6rnU9OPsGJQQGpp0ECO4SRsprkCNgn3tYf79b9tYNa+KD54ze1zaFo0l58yr4oL51fzqxYEV6BOF7DhUvtEaT2xt4bz6yhw313hT6C2kwFtAeyx3HMy2zm0sqliUfnx+3fmsrF3J3p69nDf9vPTzlcHBY1CQSTUPxc2cJqSgXHzxLLdfvnlQ4YSZ18JSSRL9XE0FFVlTd+MDBcpfpGJPqfhTNro37YpSFlQcU/Opv6OZq+DgK/g1h0jCIihsNI+PllCM9r4EdeXJwuXi2oHnTOEJKCsqlUCR5eITtoFHF+jSSrr4zKSLT1lQPq+OyJ4hlh2DSh3bNtBIWlBCgGVwXuOdYCVwNA8ILWl9+TICpXnBsdCTWXx6PxdfDo6KvTn9L8/xTOKFcLLSzHMEyoLewTNyBaqOK8d16Diw9t50J3pdZH4XC2pUIkyqC322NSY1j7KoxrDJ9qS6sp6IGNTaA13c8dRu3n/2LC5fOr5ti8aSK5bW0hqKT9h4VF1RHXErTkesY0D3iFDc5KW9naxePHZTkEdLvkSJrZ1bWVK5JOe5q+ZcxTfO+UbOmI/KwOAxKMikmodiVjqDL0XKoirMEqD+SRLhZCPZ/8/em8dJVpf3/u/vWWrppXqfpad7dhhmYZiBYXHDBXWQRVDRaEyiN0Q0uWDML5doQpJr1IhmvwSi1y3EXK/EkIQAUVFR5CqoDDIsAwwMw8BsPUvP9N61nHO+vz9OnVPnVJ3auqume5rvO68OU6fO+da3qsvz9PM8n+d53OeFP3E30oNKdBZumFEiCS/Elxkv5J88NMO/MeuaQNgZcl4OqrUXUv30TTzHRMYiIXIIM87RsQyvWdtTCNf2rIE1b4r+IDxRhO/95B9baXDcvFaLYbvNXp1CiM/QhSsGiQVKBoo9KD3mNpEVAsdKu0YmM44mQFhpEJ6Bsl3j5hmovFH2c1DY7r3DjohSvPwz2PlNNg50uSIFy82ZIQK/g6AHFexu4uTgO3/gP/RuT2sXtZE0dQQSU2bD7YnybaDIuf8N5ghjWtjLDuWbNMMtAhbKg6qJZuagpJTc+8Qh7nhkP7//lnVsXV5/r7fTCUPXePs5y/iPx0pDUvMBIQRndZ/FffvuQxMa/a39/nP3P3OEbSu6/GLY+YTX8shjNDPKSHqEFakVofOEECW1VT2JHkYyIzgRnQEA+vNS8/F0zh914ZFKujcRv1BX17AcJ/S7ncxYvgdl6JovlMhaTukYhmSn318PKxuWe0M+55OF6ZFSD0ozfbWZrgk0O4MlzIKybOVrWXRiB5MZi7hmo5kJhCAcro21uqKIKHyRhGcc4m6NVG4arAyGrtOqu4W6upMlJ2LEDR1D01xDHGvFj7cFw4Te2nYOIUDm8p5IdhwhBMJOI3XDtQpOLm+g9NB79nJHmrTdzz7g/fg2Y88P4Om7SCXjrkLuW78OO7/hCi7ytOV/vbq0Q7OmyIyHvDJPYacLt3OFwCHuTAe6QFAQWeT7FwbzTABnDxbKL4IeFEJH4PjFx81gQRmoZpGzHb720308+tJJbrpsPct75lfbombxqjU9jEzleObw/PSiNvRs4OFDD7N10Vbfk53O2vzo2WO8bdP8854g3FECXO9pXfe6qkMYwZW4t5qtjGaiIwRLOxIMT2Q5MZn1DZKH51F5HpKmuc1FrYCcfCI/K8p9rYIHZTky2oOazntQxQWz4N75Yq0wdhASRR6UbvghPkMTCDtLllih68HSLaQm9rgeFBbJZAs3vOmMQv6pGi09riemBcJzngdlZyHeRrthYzsOws5iixhxUyOm5w1UvL2w52IPyoi5Xc6FwMll3O9dZgJNgF7sQWkBD0rTQAi/84MQ+Wm3j/5j9HtIdoU9phN7YaJQJ2UKhyWphOtBBcOEj3y14kcjkLQ4E9HS8HxhtWe8NvS7n4EeyMlpwT9WdcMtPFYhvrljPJ3jr7/3HNNZi49feta8/Ku8Weia4Kot/dy1c356UWd1n4VAhMJ7D+w+ysb+1LxVVHoelPd5PjP8DBt7N1a5qkClWihD1+htj/H80YkSD6qjKMQHYBbNhJoMGagqOahkPsQnXSVcZD4o3uZ2fCjxoKJCfGbBQLX2EsuNY2WzxEUOzYjX12h5YBuc+xvh/JHnQdk5RLyNVkPiSDCcLPFEgrihMdCV5MMXr3GVesm81+B5ht770+PuKHhAWhk/xCeEQPM9qHwOyoiFujKgGRj5AthVPa0sXbURJo5Gvwc9VvC+AI4+HRZUeDk8bHdSuEeicvRIkw4tjluf1mkdD5sp34MqIuC5ed7V8m63K78SScwhQ6NpPvvtZ1jT18p/f+PaSLnyQueCld1MZS2eOjhW/eQGcXQsXbYlUZD2WDt/cMEfMNjuzj3KWg7ff/pI9Ej1eUJnvBNHOoxlx7Adm90ndocEEtXoSZaXmgMs62zhpeFJf9y6hyeaaAl8h2NFeajJvDwd3A4CQRVfSUsmz4Oys65HFJWLjbXB2KGIHJTp32y9EF8Ws9AgVdNxEp202yOu6q44fFgrnnHQvRxUBuws8dZOOmNu3ZfmZLngjKUMdLWgaW7pAbHWQgdyP8TneVDxQojPStORPgBP3FFouuqJJLz3Gbx562ahEasABs6PzkF5iAr3G8eity3GNSvT8Kw38Vm4HTsi13LDfQLpG5nXTnw3fE6+84de7BEF3oOvQtQEWnaCs6d/oUJ8tdJIkcQzh8f43Hee4bKzl/LubYMLVgxRDU0TXL3l1OWixtI5/ufdu/iL+55leKJ0tEUxg+2F381P9xxnRU/rvOscH0QI4XtR+8b20Z3srms0fXeimxPTFaTmnQkcaZfmoBIml29eGlKcmroIzX2ayNh+r76gyq+kDgoKIomoURse8XbXQ6gqksiSwwzdGGXrIlL2SWJY5dV61fAMhKb7Kj7sLP19vVy2vgvbkegyw6vO7Pc9TABWXQxr3lhYAwI5qDg4ubx6L8PgsR/D+JAb8pOEDVSxF6SZGPlxGwL8mqpIPDl+Oewchq6xwimqq6vizQicQjcJaYfva/mygdV9RX0lA3sMiiQSR3fmX1MZqJpohEjCdiQP7D7K//7xC3z49Wv8fmivZM5b0YUjJY/tL50r02h+8PQRLlrdwzkDnXz63qd5ZF9trZdsR/Kdpw5z+eb5mXsK4in5iuXltVDNg1rSYfACX0GKcM8+TRO889yB0DE3jBfMQeVoS3giiaCBigjxJTrcnEWUxNwj1gbICJm5EfagnCyZYA4KoK3PNVAiFw6T1YNuFvZmJiE36RrGWAuazOFIiW7n0MyicHD3KuhZW1gDCkY4IJLAypIzXePrdi2SCN0MGCgjbDCyEyzd/+38AxFSC/a0xUqUl6EcVDHZSdfDmiwK95bxNguNjaQvXy8WQzB+mGikP6gwOLrDs21aEw3U/CkSmSNOTGZ58fgELxyb5MXjk7w0PMmSVJJPvG09SzrmZx7jVCNEPhf12EG2DnY2zZucylo8sPsYf3LFBvra46xfmuJLD77AUwdHed8FyyuGWH/+4jA9bXHWLpr/raYG2wfZeWwnw9PDvPOMd9Z1bU+ih19M/6Ls820tORzSPDb8U87oe1fFtYqHFk6GPCjNH1oYKTPXDfdmPXm8vIHyDFOxSCJfEwReKDFLDiNkoETbElLOC8RYXN5Dq4ZmFq5t6YbxI67B0eNoTi7vQWXRiw0UFN6TZ2DMZOG4nc1LxDPE7EK/Q0dKpNADBioeNlCOVTAUgpCBGuwq8vqlrBziy4xDS5fb+iiIHn1LN3TNDfNJ6TePPX+wle6p8ve4c4bu9C3EhvSj3sb85/37QKV9zpIF5UFVI52z2T00zneePMxtP9rD//etnXzy7l385PlhEqbO5Wcv5S+vOYc/vXKDMk5FbBnsxNA1drx0smmv8cNnj7J5oMNvZ7Oqt5X/eeVGHAmfuvdpXhqODodIKfnOk0NcPo9zT0EG2gd4/uTzHJ8+zqqOVXVdW61Y1zCmGOxYzI4jP2cq2KMtgniRSGIiY/keVEgkEZWDAlcoMXEksqPD/vH9rkgCyogkPA/Kzd1kMEPTXEX7IjrsE8QoI8CoBd0s9Ahs6YXpE36PPs9AmU4WPRbxv3XPsBUX6upx19AINzQZt8Zg3WVkWxbjSJBaQFpuJkv3HvzbLtZWfu9OFXVcZjwv5CgKu0d4UFsGO121JK7XtG6x+7pLWkThDw/PYwyw6uRD/r8vmri/5Hlvd6HOGw1mwXpQjiM5NDrNi8cn2Xtskr3HJjiar0Rf1dvGeSu6ePd5A/S1x1+x+aV6EELwjq3LuOORlzlveVdoVEQjSOdsfvD0ET7+trNCxxOmzrWvXcXP9w7zt99/jks3LWX7xsWh39nO/SPommBjf6p42XnJopZF5JwcG3o21NXLD6Ar3sV4dhzLsSKvHcuNcsnaDZiayYMHH+TSlZeWXcvUtVAOKlQHpQUKdS3pdzMPkcgbqKKb4pHJI3z+F5/nz5ZcQo/Q3ZqoILoRqIPS0O0MWWIhA2W0LyZlnyRuT5VvaVQNPeBBmQnXIOTDfpqdRdruCHcRFUL0wnNacYjPfa/SSGKkc8SsKVjxauwXnwP2uYo277u5dDP0hmc5CcAWRj4HVWGGmJ2t4JkItwatrTj9IGvKQXUmTchZhQJdgL6zYHhPxWtL1vI6nKsQX30MjaW54ZuPkUoarO5tY1VvK687o5fB7pbovwQVNbGxP0VrzOBnLw7z6jWNHSny4+eOceaSdpZ2JCOfv3B1D2sWtfHlB/ey69Ao1752FZ0tMaSU/NcTh7li89LT5g8NTWgMtA2woXtD3dfqmk5HvIOT6ZP0tZTmR0czo3TGO3l1/6u55bFbuGTwEr+XXzHBbhLueHVJPP8XtZkv5AXI2nZoBLlPGQ/qsaOPIRA8kz3Ba+PtpQq/oEgC0JwsacxQMbCRWkzKPkHfsZ/B+X/AjNBj4S7rrX1uUaoeQzhZDOnWQFW83vvszEReAJGfiGu4NUix3BgkOn2ptdACIT7NKHiRAK//A/ivTzOhpUBk3eGK5XBybnPazb8CT/xL+Dkj5gpU+koHGVY3UNJdVzddgYu3r8Vn59WAbv/zWvAjfK9kkYQQYrUQ4qtCiJpb5nYkTD5/zWZufudmPnTxat68YTGr+9qUcZolQgiu3rqMex4/FBrHMFuylsN9u4a44uz+iuf1tsX5g0vPYu2iNj51z9M8vn+EZ4fGmcrZnHuadfb4wMYPcMHSC2Z0bSWhxEhmhM5EJ0vblrIitYKHDz9cdh13aKF7M5rMWLTHDd/IB2ukLLtguEIkOl2VXtGojV8e/SWvXvZqnpmOqIGCfA4qH+ITFrbQsSUhIxhv68KUOZx4O/SeUf7DqITZ4jat9WjtzXtVMYSdIyFyWJUk7GddXlAgmq2w6V1++E6YSUyZJZ5zx9kLI+Z6RpooGKhikUP/uQhgSmtzPahKxsTOuWG+Yu/zDZ9wjeT0ycIYjxoRwJvH/j3ffT4GVr6LRe+Zhd9hmT/y1i4qDUd6p8pKYo5ZMid3bCHE14QQR4UQTxUdv1QIsVsIsUcI8QkAKeVeKeW19ayfjOnzqknoQmL90hTdrTEe3lteSVYvP33hOCu6W2vq0OEWDy/jt9+whm/8/CW+9OBeLtu0tOEhx2bTk+ypO7znX1uhJ99IZoTOuFvU+tYVb+X+l+8v2xopOBMqOOAQwAyE+DJRrY7A9aDGh0IihiOTR5jMTXLZqst4LnsS69zfKL1OL7Q6MmWOnIhh2TIkktB1jVG9h9HBN1f4JEr52eGfcd+++9wHi9bDa3638GRrX77LecwVOGBV9qDOvqZw49Y02PTOQtjNTNLiTLiiCCOG0E0cNNfAlzNQQiCEO3NKuLFF93iUEXfsQrukIJoBnhfUEhHFKC4FaSvMORNCkHDyRkk33VZU7jOBPUabhCi75XWjcOZyYKEQQhNCvKfBr3s7EAqOCyF04DbgbcAG4H1CiPpjIIqm844GelGW7fCdJw9z+eb6BA5nLG7nk2/fyFs3LOaiGka1LyQqelDpgoFa3bkaUzNLZlCNZcd4ZOgRd+SGZ6ACEnNwVV++B+VEqPjAlZpnJ0JCgMeOPsY5fefQEe+gp6WPfYmIPzry4zYc6XDX3n8hi4HlyLBIQgi+u+i/ke6/qLYPxXv/mRFGvCa23gh5D8+DMhOQSxMXORytTgm7L4BoocWZwDGS+cMmtjDc+qhyBipPVgQUgos3RRfXarobjiz2oISe798nSodEAiXhuYD4Ifj5uoYvf26os3lEd3Uoa4LWLW6nLd687jpVDZSU0gGub+SLSikfBIoLXC4A9uQ9pixwB3BVrWsKIa4TQuwQQuw4duxY9QsUM2btIjdX9P+eL68mq5Wfv3iCvvZ4ZAihGi0xg7edvXTBjTupRq0eFMC67nXsPrE7dM6jQ4/yg5d+EJKZT6Qt2uKFm7WpC19mnrWcMjmofFg1YKCeOP6EP/okOLMrRD7EN5oZ5dFjj5IRJrYjS7w0K9ZFzKgvv2E7NrmiqbI+bYtdZV2iE6ZPEsfC1upUCOaNjogliTvTOPn8m2YY2Ohu66MaDJQQuEbokj8ptFUKoptud/HuVbDh6sJxz0AmUgUBR5Bib9nzbi++kZGOgAApeG2ZfU4bhe9RubHuyZheNizYCGr9X/b3hRD/QwgxKITo9n4avJdlQPBPvQPAMiFEjxDii8BWIcQflrtYSvkl4M+AX8Zir5x+eXPF1VuXce8Th0tGNtSD40j+68nDXF4l96QI05vsjTRQjnQYz46HOlOc1XUWz554NnTesyeeZSw7FlLxjaetkAdl6hpTuSl2n9iNZVdQ8UFIJHEyfZLFLW7X8bO6z/KnHofQ3VZHJ9MnEThMomM5jj9W3MMbgVEPlmOVN1D9W+Gi33ZzN9MniZHF1uq8V/g5KNezcXTPQJk4Qq/qQQnhChVGL/ti5Ru7Zrq5Is2EzuWF414IL9ZWWwsoz8tKdiHN4Jyr4LXR+0ibtfY/nHsD9ZvAfwceBB7N/+xo8F6i3qWUUg5LKT8ipVwjpby50gKneuT7K5lVva2s7Gnhx8/N3Ft99OWTtMZ01i+d/8W184meZA/H06Xe63h2nKSZDOW21natZd/YPnL5zg05J8eekT1M5ibRNccP403kRRIehiY4NPUS/7HnP8hGFeqCm4MC/2YnpWQyN+mPCVncsrikZuv49HH+9vCPwbEZTg+7BkroeQ8qfAvwhgjWgy1tsuX622m6G5ZMdsH0CUwsnHr7/OXzRiKvwPM9KD2GjeHanEoGCtClFVb3Ranm9Hwxs6ZDYD6Tf66RiO6w0V4UKvc8KCHQg95o8NoyhtIJyNwrOklz7UFJKVdF/Kxu8F4OAIOBxwPAoXoWOBUDCxUFrt66jO88eZiMZVc/uYiCPLz/tJGHzxdSsRRpK03GDvcqLA7vASSNJANtA+wd3QvA3pG9LG1dSqvZisM0ufzY9/FMkUhC15i2JzkxfYKcXRBJ7Dy60zd2xNrcPEo+xDdtTRPTY76BTMVTTOYmC+cDB8YPsDczTM5OuwZKOkyhY9nhHBTA9k1L6O+srwbKciwsGZ1H8Ym1gWPRJidn7EHpcc9AuTkoYZjYQi8SSUQqC9Cxw08FhQ2b3gVv+VRAqq6Hw3beucFO6Rf9duH5/i3wpj8uPPYNsAiNzajFg3Jq7hAxxwZKCNEihPhjIcSX8o/PEEJc0eC9PAKcIYRYJYSIAe8F7m7waygayGB3C2sXt/GjZ8uMDKjAEwfcPyI2Dyhvt16EEHQnujmZDnf1GM2MRjaePbP7TD/M98yJZzir5yw64h3k5JQf4nNzUEUhPmuKSWuSrJP2e/F9a/e32De2z9uI65HkDVTQewK33qsz0cnJTGGfQ1NDSCE4lhnhxPQJhHSYFlqkB/XqNb20xOpTOtrSDhnESISAZBed9nFkvQYqf9PWdTek5+iugdKNGLaonoPyO4qX+6MsnnLrm/w1igxUsI2SPwokSdhIBP7ty8c11i5Osbo3//sJGqgyOaiEVfhDv2Jl1DyQmf8jkAVenX98APjMTF9UCPFN4GFgnRDigBDiWimlhSvGuA94BviWlHJXPeuqEN+p56oty/juU0Okc7V7Ud504stPo+La+UZUy6MoDwpgXdc6dp90hRLPnniWDd0bSMVS5JgIhPjCU3hNXZC2JpESpJhw5dF2hrHsWFhBmOj0c1ATuYmSKcDdiW5OpAt6qCOTRxBCYyhzkhPpEwgk00Ij58iGiF0sxyLrVBhh4ZHsJmUNY9fb5y/vQRmGgYWJNDwDZWJTXcV38KI/5YH2K8obqEL1a+H1eta6cvHtny0U5xqxgpGpVK7gh/g0TN0g5XVtD/bsi9jLUbOfF7te5z+OnmTg7XXuc1BrpJR/AeQApJR5nePMkFK+T0q5VEppSikHpJRfzR//tpTyzHy+6c/rXVeF+E49yzqTbOhP8f2nj9R8zbND40xmbc47zYpr5xP9rf2hybzgGqiueOlnuqpjFUcmjzA0OcTw9DArUitIxVJknSlf5FJcB2Xogmlryu0vp7ud0T1hRkig0bXCnWCL60G1mWE1ZomBmjrCGS39HMmOciJ9gj6jjbSmkbXsEg9qJliOhVVGKh0i2UWHNQx1e1D5TuC6Tk6YBZl5XiQhAudEGSirYyXTWhvhtxpx8/fUekJzRRJv/3voWVMwBnq8EOKr1LMvWIAbNCRVQny7EtsYSSwrnF70uxHBPc51iA/ICiGS5D9JIcQaoPqwnlOM8qDmhrefs4wfPHOEqWwNNwZwvaezT7/i2vnEYPsgB8aLDFR6JDLEZ2gGazrXcPcLd3Nm15l+u6SMHC94UBEhvrQ9RYvRiqO5oxY8jy1koC78sP9XfZQH1ZXo8g2UlJKhySE2d6zmUHaUk+mTLDHbyGlaZA6qmAcPPFiSdyumokgiSEs3qdxw/SKJoAclTGQ+vKkbnkiisgfleU5Vv/tVpOoY8YJUvDhXFDJEBQ8qdDx4TYQHVDyKI27ooXC8DO1x7g3UJ4HvAoNCiG8A9wMzbJClWGgs6UhwzkAn39tV3Yvac3SCY+MZLlz1yiqubTQrUit4aeyl0LFyIT5w66GeOPYE63vc+VPtsXbS9jg5WyKlZDwTlpkbmkbWmWJpywC2GAfg2PQxlrYuDXlEQSaz0R6UlysbzYwS1+OsbhvghfQwMT1GSpjk8jfrSh6UlJK79tzFkcnK37GckysvMw/Sdxbj8T7GkwPVzw2Sv7Ebuo4lTBzDFUvUnIPyZigFb+pR4bNqBirWGvCgikN8wRxU0ECVET1EGBiB44/l8CgJSwa9vCZRq4rve8A7gQ8C3wS2SSkfaNquZogK8c0dV57Tzw+fPcpEprIX9V9PHOZtm155xbWNpjfZS9pKM54d949VNFBdrpdzVrdbrNkR7yBtT5K1HaZzNjE9LOmOGYK0Pc2iZD858h7U1HHO6j6r7LiPSWuS1lj5HNSRqSMsblnM4kQfY3aanmQPCSnJam6LoEr5yLGQJHjHAAAgAElEQVTsGFk7y3huPPL5hw4+xKGJQ5ULdYMMXsAPVv4PjqY2VT83iFcHpRlYIubnsIxYvKZOEr4HVTbEV/QZRH0mb/t8oS+g0PP/LfPZBVR89RgSdzBhfs1l55U8LwCWnF3zejOlVhXfP+MaqBeklPdKKWffQqAJqBDf3NHXHmfbyi6++9RQ2XNeHp7ipROTvGZtYzuhvxLxRse/PP4y4HoYI5noEB/AsrZlfGDjB+hNup99KpZi2h4nZzlMFOWfoOBBLUoOYOEaheH0MGu71vrjPoqZyE5UzEEdmTrC4tbFxGNJurU43YluYkhyorz3dDJ9kiOTRzg65SpFJ8uMSH/82OMcGD+ALe3aclC4xqLuvJcoeA05YZIVrkBELNvGT1OXuemgmgzULMJiXSsD86mM8p4RFHlQVW73V38BVrrCCDfEl9/jll+FN95Uev4F1xXWbhL1qPiWAn8vhHhBCPFvQojfrXaR4pXFFZv7efC5Y4xOR/8F+19PHmb7xiXRRZ+KulmeWs7LY66Bms53pk4a0eNKhBCcv+R8/3EqlmLKcnNQY0X5J3BFEllnmt5EP1nciMSx6WMsblnsj/soJkok0RXvYiQ9giMdhiaH3C4TmskSLU5PooeEAzlNoGvwi8Olk4J/PvRz7t17L8em3YLwidxEyTkAaTtNzsm5HpSdK6M6C6NrNeSCigmEtR5ufTNjqXyvOyNGJtaZbwJb3kDVHjiocV96zN1T1yroyIcrQzkos3Cs2uDHQHd0gQyE+ESJhybr2eMsqDXE90Pgz4E/Ab4CbAN+u+JFc4AK8c0t3a0xLlrdw3eePFzy3KGRaXYPjfH6M0tnGClmxvL2goEay47RGe+sWbafiqeYsibIWLbbRSJR3JXAwpGSpJZCCIfJ3CQn0yfpSfSUbVYbJZIwdZNWs5WxzBhDk0MsaV0CmsEGs4NVHauISYecJtC0HF9/+uslU4CnclPsHd3LkckjxPQYk7loDypjZ/z8k0Riy+plD/qMPKiC/HsotpysVviDwNC0fI+9SuKBCA8q0pjWNpPJN1Bv/iRs9xrtBNb28lNSRneeKPO6zyU2B7YsiDRGxZL4JlBriO9+4KfArwC7gfOllGdVvurUo0J8c89lZy/hpy8Mc3IyrKT69pOHuWT9YhJm84abvdJYnlruh/gq5Z+iiOtxDE0nbacZT+dIxiVffuLL/vNZOY1GgpwtadW7eGHkBVrNVkzdLNusNsqDAjfM98TxJxiaHGJ1x2rQTd4Q62PLoi3EHQdLk0jNne56ZCosgpjKTTGaGeWZE8+wMrUylHMLkrbyHlTeMNWi5NM0UVU5WHpRWBhgOQVDYuiihhxU+L+zJtbmdjw3ioYzenjhP2mHxqKUJV8UPKZ3ERjqXvJeROD/zwcV3xO4hbqbgM3AprzsXKEI0dkS43Vre7k34EUdG8/wxIFRLlm/qMKVinrpSfSQy3cFP5k+WTb/VI6ORAdT1jgTaQtbDPP4scd9DybjTKHJBJYjaTU62X1yN31J1/ut6EFFjDHvSnRx1567uGz1ZSSMhHuTz3d7SEgHS0ikcOXjXq7JY8qaIqbHODRxiNWdq8t6UGk7HaqBqkUooYsZGCg/B+X+13YKcuyYrtUskqj7dcvx1s+4Y0SCBEN5nkGVTm3NZQMkY957LSOwmC8elJTy96SUFwPvAIZxc1IjTdvVDFEhvvnBpWcv4ZEXT3B8wr3pfPepw7xhXV/dbWsUlRFCsLx9OfvH9/uj3uuhM95B2p5gPG2RFvkap7zhyTnTaDJB1nJoNzvZfWK3L7CI8qCklEzlpmgxSuc/dSe66U5086qlr3IPaKY/dyhu2+REwYMqMVC5KTb0uGPhVnWsKqviy1huiM8zULUIJU5aLzFq1dXus8SD8kaiPbD/ATenVUVm7hkoLxR7bOpYTfmyskR5Td2r3JAfuIY02Z1vSVWDgcp7UJ+/ZjPvPC/QRT3SCImi/zaeWkN81wsh/gXYCVwNfA13sOC8QoX45gephMkb1vVx7+OHODmZ5Rf7TvLmDYvnelsLEq8eaiQzQleivs4cnYkUaWeC8YzFlOMaBk/8kLGnQMbJ2g7tZhdDk0P05ie49iQLBuoHL/2Aockhpq3pfNiw9I+Qiwcu5kNnfwjdu7nrhZHvMSeHLRwkaQzNiPSgzuk7h95kLz2JnkgVnyctz9luiC+mx2ryoA5lnuDZ8R/X+Gnl8Tyo/HuxbAfLsbjzuTvdhro11EEF84T/8Pg/MGxFe4Wzom1xYQ/v+EK+bqqGEN+Gq+Hc36C3LV4IxxcX+XqI5of4av2TNgn8DfBovmeeQlGRt25cwh/9+5NMZm1es6aHVEkSXtEIBtsHefjwwwB+EW6tdMU7sTnOyFSWcfMIS1qX+JLwaWsKjQSZnENHrIsRG3oTAQ8qPcz+8f38557/xHIszl18bolAwqMn2RM+oBnuSHMgYVtYmokj0ixPLY/MQa3uWM0fXviHJXVQXnNcr7uE50EljWT1hrFA2hllLHeAk+mTtRt3rRD2uv5Na1jd1+bnuwxdolcJ8emaCOWf3O7reQ9q5evcbuSNJNgGqRYPqnuV+wOEPKT57EFJKf8SSAMfyXtT5zRtR4oFQVvc4JL1i3h8/wjbNy6Z6+0sWJanlrN/bGYhvlQ8Bdo0wxMZRrJH2dS7yTdQU9YUMdHCdM6iI+bKj70QX0e8g2lrmn997l9Z37OeF0ZfYCJXWgNVFs3wc1Ax28LCwWaaValVHJ8+Hgp5TVlTtJgtxPU4LUYL09Y0jnQ4NnWMv330bwE3/wT4IomkkfQ9qIMTB/nnp/85chtTzgi98UG/kW5NeIo2obF1eRcdSdN/LV2nplZHQQWfIx2k11bo1de7TWEbQbAbukdUDuryv66wRsBDmiMPqtYQ30eBbwCL8j//RwhxQ9N2pVgQbN+4hN97y5l0taoJx82iK96Fg1tjVLeBiqVwxBRHp47TYiZY3r7cN1CTuUliWoKprE1nvgFtX4srkhBC0JXoYjI7yfvXv599o/uYyEYLJCLRDD/El7Bz2MLGERl6kj0kjaQ/nsMTPSTyU2t1TSdpJJnMTZJ1soxl3Q4XGSvCg8qvPzQ5xKNHHi3xqFxJ+hS9iWVllYHl96+HbvyeB1VbDirs1EgpcYrHtDcCv6dSwEBFjZbvqNDqyd9/GZm5r+Kb+0Ld3wIulFL+qZTyT4GLgA81bVeKBUHC1Fm/NDXX21jQeEIJW9q0x+qbTNwR70Bqk4xbR1meGqA70e3nliZyE8S1VqYyNm1mK7+x4TdCAoiNPRt597p30xHvoD3WzvMnn6fVqNFAedNiHZu47WBj4zBNi9HCopZFfh5qypoiaSRDOZs2s43J3KQ7VsPOkrWzBQ/Kdgt1E0bCN1Be1wtvYKPHiekTJI0UbUaKiWx08W9ZiroyeOM9Ynq+XVMFdVtxSycHB2c2IolKe4SwB5Va6o7uAGqusypeL3RsnoT48jsIVr7ZnIoy4jpRKj7FK5HlqeV0xDrQ6vxLtj3Wjs0UWTHMys4BupOFtkRTuSniepKprE3M0Llg6QWhG+s1Z17j9/Vb07mGJ44/QVus1hCfCbYFmXGMRDtCCLJygrZYG0talnBw4qC/hxYzrApsM9sYz45j53NY49lxPwfl/Teux30DNZYdI6bHeO7kc6F1TqRP0G500mK2+Z5YzWh6yDPxPKh3nLuMjf0p/2a+68TTfGHnF0KXCkFJiM+p11jUQjkvrn/rDNYohC3PWNQW/XyTqKfV0c+FEJ8UQnwS+Bnw1abtaoYoFZ/ilcjK1Eq6E/V3h++IdWAxhTSGGWgboN1sJ2tnydgZJnOTxPUWprIWZpXWVKs6VjE8PVxWJFGCF+OaPgnxFIaIkXHGaDVb2dCzgSePPQnk809FsvW2mOtBeQZoIjdB2krTYrr5KUMzMDWTA+MHeOjQQ4xnx9nQs6HEgxpOD5OKdZOKtZdtn1QWoYc9qLyB6muPucq3/PO/OPwLdg2HZ666OajCYyklDk0I8RER4pvpGuC/39Z4lK5u7kUSfwP8N+AEcBL4b1LKv2varhQKRc1s7NnItWdfW/d1rWYriBw5cZSB9gE/t3QyfZKJ3AQtRitTWdsf916ONR1rAGoXSYDb5HTqBCQ6MDWTrHTbJJ3VfRYHJw4ymhllOjddYvRazVYmchN+x4iJ7ARpO0272e4bKEMzePL4k/zk4E8Yy4yxMrWS0Uw4qjKSGeE1q5Zz8ZrBGeegLMfi+vuv9z03P5eUDwF6occgSVNneXfB6DrSQTqn0IOqa41AqHI+ysyFEAngI8Ba4EngH5TMXKGYXwgh6u4i4V0X11vJOdN+l4juRDfD6WGmclMktSQTaXcURyUWtSyi1Wyt3YMCN8w3NQyJFOb4JNP2OG1mG6ZusrFnI48fe5yEnihpfhvTY36uCWA8N07aStMea2doaghd04npMb93n0xKlrWVCiHGs+Msa1tGd0vHDHJQ7ngLzzAdmnSLfT0D9ZUX7+Yycr54I0gypvP7b13nP5ZI7N61/PPRHbw9L5tvCF5Yrth4eI9XvBqK+h5GLBJeaw6o9qr/hNsY9kncwty/avqOFArFKSOptdMZW+QX0XpCiWl7mqSZD/FVMVBCCLav3M5g+2DtL6wZroGKp4jlC3xjeRn0lkVb2Hl0Z2SIzxAGlrRKPKi2WBtpK40udEzNxJY209Y0R6aOsKhlkV/I6zGRnSAVS9FutjOeHa/azcFyLP7u0XzQSNNA030D9dKoOzjSW+NYZoQxnEgPqhhHOuxpTfHznmVl52xVIm2lo9s/aUbleU39W+HiGysvLkpDfKeaaq+6QUr5a1LK/w1cA1x8CvYUQgjRKoT4JyHEl4UQ7z/Vr69QLGRajHb6kkv9x93JbvaP7yepJ4npOlnLqWqgAN60/E2lBbmV0D0PqgNTxIjrBU9pfc969o3tYzQzWiKSMDQj1HNvPDtOxsrQbrZjORamZvrdLFqMFrJ21jVEsfaQGGI8W/DYDM3wx5WUI2tn2TOyx/WS8jkmL/fkTTb2ckkZJ4eFRtqqzUB5hknMIJdzy2O38GcP/VnpE5oOb/yjuteLRGjMlSau2jfP/5OjkaE9IcTXhBBHhRBPFR2/VAixWwixRwjxifzhdwJ3Sik/BLy9UXtQKBSQivUw0LrSf9wd7+bA+AFazBZ/6nHMaMLNSTNg2s1BxfQ4Ca1giOJ6nMH2QZ48/mR5AyUtBIKJ3AQZO+MrCHWhE9NcT2xd9zqSRhJTN0sM1Fh2zJflt9cglJB5pd1Dhx5id+dSSHT6Rs1b1wvxZZwcOSFr8qCklL4HZM3gFnt44jBTVrVQ3Qw5DTyoc4QQY/mfcWCz928hRJ3azBC3A5cGDwghdOA23FDiBuB9QogNwACwP39a9SEvCoWiZs7r3s55iy70H/ckezg0cSjvXbi3h1o8qLrRDJg8DvEUphYjURTKW9e1jqHJodIQX8CDao+1uyG+fA4K3GJeUzPpjHeyrH2ZfzwVS4XyUBO5iZCBGsuM8eP95fvyecbnl0d+yc96+vncE/9A1s5iaoUWXl6IL+PkyEFVD0pKiUT6HeQd6TA8PczOoztD5+XsHM+eeDZyjZrG28+UoNBiVmrAmVPxmyel1KWUqfxPu5TSCPx7xhWYUsoHcRWBQS4A9kgp90ops8AdwFXAAVwjVXG/QojrhBA7hBA7jh07NtOtKRSvKK45b4DXnlEY19Cd6MaWdn72k/sXdFMMlG6GPSg9LLDwaqxKPChh+JNzOxOdjOfcOihPQWhoBqZu0tfSx5KWJaRi7m0q6EHlbDcf5Qkw2sw2hqaG+Nfn/rVsLsozUMenj/PI0CMcGD9Axs7Q39YfOkdKSc6xsITAcqyKAyS9NT0PypY2d+25i688+ZXQeQ8ffphbH7u17DpBI9lYgoMP8wbq0s+xK3lek16vlPk0e3sZBU8JXMO0DPh34F1CiC8A95S7WEr5JSnlNinltr4+NbVVoaiFhKmHDFBH3C34bTFb/GmzTfOg7BwkUqRiSTriYYn68tRyYnqsvAclLTrjnUxkJ5i2pmkxW9CFjiEM+tv62bpoK5t6N/H+9W7aOhVL8cLICzx06CG3b2CszTce7bF2Dk+688uixnTct+8+dgztAAiNuk9bab8/IbhhQG+i73g+H9Vulu/u4eWsJvPdzB3H8btSBCmeMlxMLKLHnieBL6WOcG2wU4TXpb6S3LwJzKcBPVHvUkopJ3FrsKovIMSVwJVr166teq5CoShFExqd8U7azDbS+QLdajLzGeGNH4+nuHDlQEn+xdAM3n3mu1nWtqzkuOVYrgcV7+SZ4WfQhEZcj/uCh9Udq93JvRT6B6ZiKe7bdx+jmVGWtS0LtYVqj7X7hbxZJ4tZNBr9nhfu8c+Xga4P49lxdwBjHillXtkn2O9k6Ix3RuaVjkwewdRN3+sLelBRk4CrCTjiEWM0vNCfI526O4wUCNZBFfryhW7Ub/kUJOsb81IP88mDOgAEdaoDQJ3TxBQKxWzpSfa4Ib58xwezWSIJoUOslUuWX8L2FdtLTnlV/6uiRRLSzUG1mC30t/Vzdu/ZDLYPYmhGYeZUEam4G+qzHIuJ7ETIQLWZbRyacG815UbFe4YOCvOcRjIjfiNbcD2ijJ0BIdgnpxlsH/TrtYL85OBP2DG0ww/xSSmJ6TEc6fjS9SCe2OL6+68vGRQJRBogb+2oHNU/2cORr1NC0DOKmPMFQN+66OMNYj4ZqEeAM4QQq4QQMeC9wN31LKBaHSkUs2dRyyJS8RRGM3NQmgmJFOSbp1bK1QQxNdP1oKSNoRnceP6NvOvMd7l1VFoMQ0TfSAfbB9myaAuWtBjPjYe6XrTH2n0vpviG7oXXOmKFe8q7z3w3nfFORjIjxPQYn3vd51jSuqRgYDSDETPJ0ralfr0WuP3//u25f8OWdr5JbKHFUavZWuJBSSl59MijIQ8qyuBEdUP3QpVRBvcROcmxqVry9AEPKtCCXTSjd2AZ5sRACSG+CTwMrBNCHBBCXJuXsV8P3Ac8A3xLSrmr0joR66pmsQrFLLnmjGu4cMmFmLqGEPi5qIai6e4Y8joJqviKjVElD6o32cvbVr2NnJ0ja2dDnk/Qmyq+oXuNa70bfkyPcfHAxXTGOxnNjJLQE7TF2jA1E0c67vWaAV0raDPbsB2bydwkk7lJdh7dyY/2/whb2tiOHQoXthgtONIJGSAb+Men/rGsV+efJ0u9NO9YuWtr+oMgKjQobWhG9/UyzEkOSkr5vjLHvw18exbr3gPcs23bNjUKRKGYIV4OxtQFhqbV7N3UhW5CvH4hcFAkoYuwMYrp5T0oKCgAc3YuNJo+2IW9WKTg9fDzDIcn2kiaSYYmh3yBghAikIPKr2u2YUubm39+M1kny9ZFbidxRzr+j0dcj2NLO9Ttwo7wVKJEHJEGKh9abIgMPfj7d5rR2LY88ynEN2uUB6VQNA5D04hV6WQ+Y7wQX53o+SattmOHjAy4BqicBwWu4bUci5zMhYQQQQ+qeLChZ7B8A5XPiSX0BCPpEV+goKHh4IQ8Fm+W1WhmlKncFD89+FMAP0QZNFCm7npgwT8GPLMTPC8qnOdEGI0fH3Bruqp5XxUJDSzME2EMm8mCMlAqB6VQNA5DF34equFoxow8KFMz/V58xcYopsdKjFYQT2CRs3Oh2qFWoxWBoMVoIefkmMhO+Lkn7wbvGSgvd9VitiCRvopPE5rvQXk6t4SRiDSanvcUrLmKabESo+t5UEGvyfOWpJQ8dfyp0LEgD+x/ILT/YmpqqxTRrXwsM8a3Wh+pfm2DWFAGSnlQCkXjiOka8WZ5ULrZlBxURQMlDHJ2zu/Z529F02mNtdKT7OH49HE+8f8+wb1772VocsjvFpGzc/Qke3jtstcC+DmsroQrsRZC+CIJrwA4YSTQNb0kFGlL2xdKeMT0mGt08+dKKX0DFcpL5UN3JzMn+eLjXwTCXtW3dn8r9DgYsvzCzi8wmQ9B1tb3r3Qy8Gh27JR25VtQBkp5UApF4zANDUNr0i1i/dthzZvqvixkoIqMUbUclB/ic3Il137s3I+xtHUpjx97HHBDiX/3y7/j2PQxkkaSnJOjJ9HDuYvPBfB79w20uU1uNKHhSAfLsUiaroFKGkl0oZd4ULZj4zjhHJSpmSGP6pAzjec3RXlQwQ7mQQ/qwQMPhlosBT2oXcO7OJgdAdx6LsuxkFLywP4HeGQowiuKyj1Kh+7WGKnEqZEvLCgDpVAoGoehiebloFp7ZpSDChqo4hu/Iap7UJ6U22so67GkdQkxPeZLx6etaSZzk4xlx0gYCXJOLlRv1NfSx2D7oJ8zEgj/pu95V0kj6U/4DeJIB0ta4RCfHsOSlm+0btbHeWH924CwB+U9H5xh5R376x1/DYSLiYtFFd65jnT42I8+xvdf+j53Pncn//rcv0Z8YkUhvrZFiPalJIwmCWciWFAGSoX4FIrGYepa83JQMyRUB1XkLZm6WRJOCyKEwNAM0nY60pDF9Bgj6RF6Ej2MZkeRUvrdInJOLrT2pSsv5eMXfDy0tmd4vBBfXI+jCa1kT54hKvagHOkUjEusjcletxtG0Mjcs9ft9hY1BfjF0ReBsEdVLKqwA8XBAHe/cHfocdEHBlt/rfD47X+PaGle14goFpSBUiE+haJxrOxtZfvGJXO9jRCVQnymZlZU8XnnTOWmStoZec/lHDfXdGLa7WU9nh0naSSxHKtiyyBd6EgpQ56doRnoQi+5LufkwsYI17ja0g4ZimIFIcDLYy/jSKfieJBg9wpLuopHb10r/5rB/BdECy0QAtZfGWG8FnihrkKhmP+0xQ3OXX5q/2KuhqfECwoKPFakVpT07itG13SmrenIDuCe0epJ9nAy4zaF9QxUzs5VNH5CFEJ8xfstDodl7awvlAie53lV3t48yXtxLZPlWJEelEdwXdux+eTDn+TrT389/1whxBckyoMamhxieHqYG354QyikeCqZT81iFQqFoiK60Mk5ucgc1IVLLyxzVQFTM8saKC8v1ZPo8cUFlmMR1+NIZEXlm0D4IomBtgG/wFcXrkHsa+ljeHrYV/oVh/h0ofvdJTxPLriHIJZj1exB2dLmZPqkL4IoDvF5RNVXfeZnn6Ej7kajPCM5k6m/s2FBeVAqB6VQLGx0oYMkUolXC6ZmMmVNRRuofFeI7kR36LhX61Qpv6UJjYmsO923J9nDH1/0x+41mk7OznHNmdfQarozr7J2NhR28673Pai8J+d1pcjZObav3M5Au6sY9Gq1ihvpegSNTXHozibag4oyUFDopO7VeUWGApvIgjJQKgelUCxsfKGDla4oKS+HoRlM56ajRRKeB5XsCR33RA+VclCa0Pi/z/5fHj70cGhtQxhk7AyGMPyuExk7U9JJQhe6m4NC+obQ81okkg09G3wDOpIZYTQ76g9jhLBH9Oc//3P/38Xd1G0ZnYOSZfJKXphxeHqYe/fey+d/8fmyn0EzUCE+hUJxWuEp8aoJIspdK5GRQ/68Y53xTr+3HkBSdw1UxRxUIPQVNJya0LCljSY03xPLWJmSQl3vPEc6voEL1jAF9/OVJ7/CyfRJzuw6k6HJIaA0DNjf1k+b2VYyS6pciC/IY0cf8w2TZ7j+5tG/CQ9nlPKUBPsWlAelUCgWPrqmk7EyMw7xAZHXes+1GC1+kS0QamdUjuBzwbWDir63rngrnfFOJJLnTz7P40cfL5wndL/9kfe63hwocHv9eUZlJO0W23ohQyFE6FxwQ3ZxPc73X/p+6Hi5EF+Q25+6na8//fUK+SbJqQr0KQOlUChOK7yC20o5obLX5o1HORWf154oaST9NkZ+iK/C7bKcgfK8KV3onLv4XL8xrSMd7n/5fv88XdP9HJS3VsYqdEYXQvgel+fVeIbTEEaoewS4XdijBxlGh/jC5zgl7yN4HGCywvWNZEEZKCWSUCgWPt6NcyYeVCUDFdNihXEaRpLOeCcAcSPfsbxC26dQiC+wL0/wEPSkotDQfBWfZ1iC4TlPRBHab2DUR7F4IWtnI72k/zj+S8Dty1cOT7FY0qIp8Bo32QfZMbSj7BqNYkEZKCWSUCgWPrMxUJ5hijJQPckezl9yPuA2g/UMlOdBVetSUby/4Ot415bbs67pfqGut1YwbOfJ2EOvmTeKnvQ+SLGMPQrv/UUhkSVemZ/nyqevfnLwJxXXbwQLykApFIqFT/FNfybXRhmK9lg7V665EoDNfZtZ07kGoDDzaQY5KM/L8fZabs9eDsqRjh9KrOZBeQbKa7MURFJGEp5I+WNOHOlwZteZZd9TMdUMXjNQBkqhUJxWeAZgpjkoXehVm52+afmbWJ5aHuqQXq0OysMUBe+s2LiVDfF5Kj4KOaigiq+acSyWk0MZg2K2QO8ZgNsGKarlUzlOdQ0UKAOlUChOM2o1MlGYmhkpMY8ioScwNMM3DpVeLyigiArxVQtLeh4UMtoYRYX4gq9tydJR8NU8nmBbJYAvP/HlSEPnETVuvtkoA6VQKE4rDK3yaPdKmJpZc+6qI97BeYvO819rJjkoz4PyJev5URzFaEJz5zMhIw1hZIhPFEJ8NXtQRc8Ha7YeP/Y4v/uj3614votqFusjhFgthPiqEOLOud6LQqGYe6rNfap4bcR8pnIkjAS/ctav+MalUpgtaFSCxtPz1rxrPZl5MV6IT+T/L2r94hZMxddGHa9E1s7WFeKbC5pqoIQQXxNCHBVCPFV0/FIhxG4hxB4hxCcqrSGl3CulvLaZ+1QoFKcPhmbMqM2Rd22tBsrDu9FXzEGVCfF5Bso75hXXFqMLHcuxyoYRBYIPn/Nhti7aSl9LXyhM6XlfxVy19iree9Z7y+4ZmPHneKpo9u5uB24Fvu4dEELowG3AW4ADwCNCiLsBHbi56PrflFIebfIeFQrFadExQKAAABZ3SURBVMRsQ3z1eg21eFAhFV/gpu/19/OeL2egNE2rOHNKExpxPc4Vq68gYSToiHfwH8//B+Aar//zzP9xX0+PMdA2wN7RvbQYLazqWFV2z8tTyyvWds0Hmro7KeWDwImiwxcAe/KeURa4A7hKSvmklPKKop+ajZMQ4johxA4hxI5jx4418F0oFIr5hCeSmOm19XoNnjGsNcQX9ND8Qt38ftvMtpJrb37dzQUPqii85z32Xntx62J/BIaHJjS/Zulv3vA3/qR2TWgV3+vK1MqK3THKki9cfnH0RcayY/VfXwdzYT6XAfsDjw/kj0UihOgRQnwR2CqE+MNy50kpvwT8GfDLWKw2lY5CoTj9mG0OqlYVn4dnHGZSB+UZCM+ApeKpkvPaY+1umE66Ib4owUUlBaGXf4pqyVTpc/JG0tdNagCWbsGWNn/0//6opEi4kcyFgYr6pMvKQqSUw1LKj0gp10gpi0OAxeeqThIKxQLH0GZuoOpR8XlUK7KFsKdTTjABsLx9Ob+/7feBsDdlCCMyxOfttZKn403X9Xr0BWXxUe/VK86dsYESAgLvy+t83gzmwkAdAAYDjweAQ41YWPXiUygWPrMRScT1uC/9rhVNaAhExZu5Zxx+df2vllwbRAjBitQKAN6y4i1+ayVNaOScXIkh8sKFlTyoYEFvMVEGymsya+rmzAzUKWQuJByPAGcIIVYBB4H3Ar9a+ZLakFLeA9yzbdu2DzViPYVCMf+YjUhiY+9GVneurvs6TWgVPSivRuiipReFjkcZUk1obFm0hYsHLub14vX+McuxMDQjsvFsLaPWvXEcvgeFiNyzp/ibaR6v5HWbWBfVbJn5N4GHgXVCiANCiGullBZwPXAf8AzwLSnlrga9nvKgFIoFjqmZM765mpoZmkRbK7qmV/agygwA9EZ2FPNbZ/9WSSjQduzyIb6o7hJFXlWtIT5vlPxA20BDukNUGn44W5rqQUkp31fm+LeBbzfh9ZQHpVAscGaTg5opmtBqCvEV05Xo4tZLbq26vjfyXUOLFEmUa38Uhd9EtowHlbWzfPZ1nyUVS/HYsceq7q0ap60HdapRHpRCsfCZjwZqtp2+y/X7q0XFV0zw3KjrMnbG9yIb4kEpA1UbSsWnUCx8ZlMHNVN0odeUg5rN+kBJq6N6clAeQQ+qmM19m9m6aKv/OK7HazZ+5fbQzBDfgjJQyoNSKBY+vclelrWXLZ1sCrrQK3ZdmO1NulytVaVRHyU5qGKRRIThuW7zdf7MK4Cr1lzlFvfWQhk7pgxUjSgPSqFY+JzZdSaXrrz0lL6mrlXxoGiMB1VsoOrtGwilhunWS27lHWvfEf26ml7za3gSeE/4sahlEQCT1mTde6yVBWWgFAqFohl4tVDlaGQOarC9UCZq6qYb9KsnBxWYtNtIvPWu3eT27vbquX7w0g8a+jpBFpSBUiE+hULRDKrloGZLsHbpitVX8Ntbftt/3XLijGKDWSIzryNv5b1eLXgNb399w6/XfM1MWVAGSoX4FApFM9CEVjEHNVsPyvNOvIGFXu7J0IyaPaHiHFQ9tBrRXdaj6Gvp43+98X/NyBDWy4IyUAqFQtEMWowWWoyWss/P1kB5FAsOgiPn6yV0XRUbUosRDBqiYCePRocSg8zvaVUKhUIxD7h+6/UVa68apWQrDtOZmlm3hxJp0Kpsb0ZjN04B83NXM0TloBQKRTOoVhg8WxWfh2foPKNUiwf18Qs+7l47ixxUE6N0s2JBGSiVg1IoFHNBozwoL1ToGZlaclCe6q9iR4cqBmg2Xc1VDkqhUCjmMX0tfY1dMH/PL+5uXpG8fZqJsZlNiE/loBQKhWIec8XqK9i+cvus1/G8IM8oJfUk7bH2yHPLGQbP2NRjqGoSSTTREJVDeVAKhUIxSzSh1T0IMYpiqXir2cpNF94UeW5PoifyuGdIZlLcW8yazjWsTK2seZ1Gs6AM1HwXSezbt49NmzbVfP7tt9/OoUMNGTbMzTffzNq1a1m3bh333XdfQ9ZUKBSNxRNblBshH+SipRfx12/4a/+x733NwNPxrvGm7Xpct/k6f0T9XLCgDNRCE0k0ykA9/fTT3HHHHezatYvvfve7/M7v/A62bTdghwqFopH4Kr4avCAhRKTX5oX4gl5RtTyW9/xVa67yVYHecW8PMxn0OFsWlIE6HbAsiw984ANs3ryZa665hqmpKR599FFe//rXc95557F9+3YOHz7MnXfeyY4dO3j/+9/Pli1bmJ6e5lOf+hTnn38+mzZt4rrrrqtZOfSf//mfvPe97yUej7Nq1SrWrl3LL37xiya/U4VCUS/FOaiZKOR841bPiA5RkLUHC5KDeaxUPBU5fHE2CsBqKAN1itm9ezfXXXcdTzzxBKlUittuu40bbriBO++8k0cffZTf/M3f5KabbuKaa65h27ZtfOMb32Dnzp0kk0muv/56HnnkEZ566immp6e59957AfjLv/xLtmzZUvLz0Y9+FICDBw8yOFhoQDkwMMDBgwfn5P0rFIryTFvTwMzySB6+YaqrDKrwekGDE/x3M+Xk5XjFqviuvf2Rhq/51Q+eX/WcwcFBXvOa1wDwa7/2a3z2s5/lqaee4i1veQsAtm2zdOnSyGt/9KMf8Rd/8RdMTU1x4sQJNm7cyJVXXsmNN97IjTfeWPY1ozytuVDkKBSK8ixqWcTRqaNAdJiuVmZSqFvumrm+T8x7AyWEuBq4HFgE3Cal/F4j1q3FmDSD4l94e3s7Gzdu5OGHH654XTqd5nd+53fYsWMHg4ODfPKTnySdTgOuB/WNb3yj5JqLL76YW265hYGBAfbv3+8fP3DgAP39/Q14NwqFolFs7NnoGyjvPlFr+EwgZiWSCBqocl5TOYN32hbqCiG+JoQ4KoR4quj4pUKI3UKIPUKIT1RaQ0p5l5TyQ8AHgV9p4nZPCS+//LJvjL75zW9y0UUXcezYMf9YLpdj165dgGu8xsfHAXxj1Nvby8TEBHfeeae/5o033sjOnTtLfm655RYA3v72t3PHHXeQyWR48cUXef7557ngggtO2XtWKBTVuXrt1Xz2dZ8FZpmDakD+yqOZI0Zqodke1O3ArcDXvQNCCB24DXgLcAB4RAhxN6ADNxdd/5tSyqP5f/9x/rrTmvXr1/NP//RPfPjDH+aMM87ghhtuYPv27Xz0ox9ldHQUy7L42Mc+xsaNG/ngBz/IRz7yEZLJJA8//DAf+tCHOPvss1m5ciXnn1+7B7hx40be8573sGHDBgzD4LbbbkPX5/aLp1Aowuia7ivlZpWDqtP7Cp5bPByx3i7njaapBkpK+aAQYmXR4QuAPVLKvQBCiDuAq6SUNwNXFK8h3E/oc8B3pJS/bOZ+m83KlSt5+umnS45v2bKFBx98sOT4u971Lt71rnf5jz/zmc/wmc98ZkavfdNNN3HTTdEFfwqFYn4RrIOq8YJCq6MZBMaqhfIMzWBZ+7K6150tc5GDWgbsDzw+AFxY4fwbgDcDHUKItVLKL0adJIS4DrgOYPny5Q3aqkKhUJx66pWKv/vMd2M5VvjaejpJVPG6/ur1f1U23LfQevFFvZuyBT1SyluAW6otKqX8khDiMHBlLBY7bxb7UygUijml3rDZxQMXF66djTSdaCNVbdxIs5iLOqgDwGDg8QDQmH4+CoVCsQDwjMRMimBnkhPyJuQ2s+h2JszFbh4BzhBCrBJCxID3Anc3YuGF1upIoVC8MpmNEi/KyFRbZzYFuc0M8TVbZv5N4GFgnRDigBDiWimlBVwP3Ac8A3xLSrmrQa83r5vFKhQKRS3MRInnESWSWNe9jjWda8peYwgj9Lq1MtA+wIbuDfVtsA6areJ7X5nj3wa+3YTXuwe4Z9u2bR9q9NoKhUJxqvANxQyckygj09/Wz++d93tVr5FS1mUUP3FBxTLWWTO/Ao6zZL57UHM1bmN4eJg3vvGNtLW1cf311896PYVC0VwaHeKrFYmc8/ZGQRaUgVpoOahGGahEIsGnP/1p/uqv/qoBu1IoFM2m7jqoALMxULZj+6993ebrZrxOo1hQBup0YC7GbbS2tvLa176WRCJR/WSFQjHnzGRkhn/tLDo7SKR/fV+yb8brNIoFZaDme4gP5mbchkKhOL0Ijr+o+9pZhOhsaft5r/kQ6pv33czroS6RxP9tQt/ZX/2XqqfMxbgNhUJxejEbD2o2IT5HOnMy96kcC8pACSGuBK5cu3Zt9ZNrMCbNYC7GbSgUitMLv3nrLEZnzIRg2mA+GKoFFeI7HUQSczFuQ6FQnF74IokZ3KJnco2HI5151U1iQXlQpwNzMW4D3E7qY2NjZLNZ7rrrLr73ve+xYUPzCuwUCsXMmascVFAkoXJQrzDmctzGvn37ZnSdQqE49cyVis927Ias0yjmjy/XAE4HFZ9CoVBUYzZezKxEEjjzwnPyWFAG6nTIQSkUCkU1ghNuZ3rtTAiKJGT5KUinjAVloBQKhWIhcSo9qIsHLuacvnNmdG2zUDkohUKhmGfMJsw209zRe9a9J/S41k41zUR5UAqFQrGAmE8y8dmycN4JSiShUCgU80nkMFsWlIGa7yKJuRq38f3vf5/zzjuPs88+m/POO48f/vCHs15ToVDMTxaSB6VyUPOY22+/nU2bNtHf3z+rdXp7e7nnnnvo7+/nqaeeYvv27Rw8eLBBu1QoFPOJ+VC/1CgWjqk9TZiLcRtbt271jdzGjRtJp9NkMplmvk2FQjFHLCQPauG8k9OEuR638W//9m9s3bqVeDx+qt+6QqE4BXQluuZ6Cw3jFRviu/7+xo8+v/WSW6ueM5fjNnbt2sXHP/5xvve979XxrhQKxVxhiPpv0b3J3pruRdWYD4W6895ACSHWA78L9AL3Sym/0Ih1G/ELnAlzNW7jwIEDvOMd7+DrX/86a9asadC7USgUzeJTr/kUnYnOud7GnNLUEJ8Q4mtCiKNCiKeKjl8qhNgthNgjhPhEpTWklM9IKT8CvAfY1sz9ngrmYtzGyMgIl19+OTfffLPvvSkUivlNd6J7rrcw5zQ7B3U7cGnwgBBCB24D3gZsAN4nhNgghDhbCHFv0c+i/DVvB34C3N/k/TYdb9zG5s2bOXHihJ9/+vjHP84555zDli1beOihhwD8cRtbtmwhHo/74zauvvrqusZt3HrrrezZs4dPf/rTfn7q6NGjzXqLCoViAdBqts71FhDNbmchhFgJ3Cul3JR//Crgk1LK7fnHfwggpby5hrX+S0p5eZnnrgOuA1i+fPl5L730UkP2r1AoFIrmIoR4VEpZEiGbixzUMmB/4PEB4MJyJwsh3gC8E4gD3y53npTyS8CXALZt2zb32T2FQqFQzIq5MFBRVWRlDYqU8gHggZoWFuJK4Mq1a9fOaGMKhUKhmD/MRR3UAWAw8HgAmH0/H4VCoVAsKObCQD0CnCGEWCWEiAHvBe5uxMLzvRefQqFQKGqn2TLzbwIPA+uEEAeEENdKKS3geuA+4BngW1LKXQ16PdXNXKFQKBYITVfxzQXbtm2TO3bsmOttKBQKhaIGyqn4FlQvPuVBKRQKxcJhQRkolYNSKBSKhcOCMlDKg1IoFIqFw4LMQQkhjgGzaSXRATTbyjXiNWayRj3X1HJutXMqPV/puV7geJXXnmua/T1p1PoL9XtyOnxH4PT4nsx0jUZ9T1ZIKftKjkop1U/RD/Cl0+E1ZrJGPdfUcm61cyo9X+W5HXP9PTgVv8NTsf5C/Z6cDt+RRv4em7n+TNdo9Pek+GdBhfgayD2nyWvMZI16rqnl3GrnVHr+VHzOzaTZ+2/U+up7MrecDt+Tma7R6O9JiAUZ4lOc/gghdsgI2alC4aG+Iwsf5UEp5itfmusNKOY96juywFEelEKhUCjmJcqDUigUCsW8RBkohUKhUMxLlIFSKBQKxbxEGSiFQqFQzEuUgVLMe4QQq4UQXxVC3DnXe1HMX4QQVwshviyE+E8hxFvnej+K2aMMlGJOEEJ8TQhxVAjxVNHxS4UQu4UQe4QQnwCQUu6VUl47NztVzCV1fk/uklJ+CPgg8CtzsF1Fg1EGSjFX3A5cGjwghNCB24C3ARuA9wkhNpz6rSnmEbdT//fkj/PPK05zlIFSzAlSygeBE0WHLwD25D2mLHAHcNUp35xi3lDP90S4fB74jpTyl6d6r4rGowyUYj6xDNgfeHwAWCaE6BFCfBHYKoT4w7nZmmIeEfk9AW4A3gxcI4T4yFxsTNFYjLnegEIRQEQck1LKYUDdcBQe5b4ntwD/f3v3F5pVHcdx/P2hPzpyeVEUrSKDtopgOXIXUYiQeBEUCea6qBAlRDBQSC+SoCDoIq8qkmARXYRtBsK62oxYyZI2XFMKJwQaDIWEyPlnJOq3i/NbnU579sxHH59T+7zggXN+v/P7c8Z59t3vnLPf773r3RmrH4+grEwmgHtz+/cAJxrUFysvXyfzhAOUlckI0Crpfkk3Ay8AfQ3uk5WPr5N5wgHKGkLSbuAA8KCkCUkbIuIisBnoB44AvRHxUyP7aY3l62R+82zmZmZWSh5BmZlZKTlAmZlZKTlAmZlZKTlAmZlZKTlAmZlZKTlAmZlZKTlAmc1A0iVJY7nPkkb36VqS1CGpO22vk/RBIX9Q0rJZyn8uqbXe/bT5zXPxmc1sKiKWVsqUdGP6h9H/qteBt6+i/C5gO/DKtemO2b95BGU2R2mksUfSl8BAStsmaUTSYUlv5Y7dkRbU+0rSbkmvpfS/RiaSbpd0PG3fIOndXF0bU/qKVOYLSeOSPpOklNcp6TtJhyQNS2qWtF/S0lw/hiS1F86jGWiPiENzOOdnc6PIo5KOpaz9wEpJ/iPX6sYXl9nMmiSNpe1jEbE6bT9O9sv9t7SseCvZ+kQC+iQtB86RzQ/XQfYdGwUOVmlvA3A6IjolLQCGJA2kvA7gEbIJUYeAJyQNAz1AV0SMSLoVmAK6yVaU3SKpDVgQEYcLbS0DfiykdUl6Mrf/AEBE9JHmuZPUC3yT0i9L+hl4dA7nZlYTByizmVW6xbcvIqYX0FuVPj+k/UVkAasZ2BsR5wEkzWUi01VAu6Q1aX9xqusCMBwRE6muMWAJcBo4GREjABExmfL3AG9I2gasJ1uRtugu4FQhrSciNk/vSBrMZ0raTvYzya9U+yvQggOU1YkDlNmVOZfbFvBORHyUP0DSFqDSJJcX+fvW+sJCXa9GRH+hrhXAH7mkS2TfW83URkScl7SPbCXitWSjpaKpQtuzkvQU8DywvJC1MNVlVhd+BmVWu35gvaRFAJLulnQH8C2wWlJTet7zTK7MceCxtL2mUNcmSTelutok3TJL2+NAi6TOdHxz7nlQN9nCfSO50V7eEdItvGok3Qd8CKyNiGIwagM8i7jVjUdQZjWKiAFJDwMH0nsLZ4EXI2JUUg8wBvxC9kLBtJ1Ar6SXgK9z6d1kt+5G00sQp4DnZmn7gqQu4H1JTWQjmZXA2Yg4KGkS+KRC2XFJiyU1R8SZKqe5DrgN2JvO8UREPC3pTrJbfierlDermZfbMKszSW+SBY6d16m9FmAQeCgiLlc4ZitwJiK6a2xjKzAZER/X3FGzKnyLz+x/RNLLwPfAjkrBKdnFP59tXanfgU+vorxZVR5BmZlZKXkEZWZmpeQAZWZmpeQAZWZmpeQAZWZmpeQAZWZmpfQn71SVSx/DvPMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "betas = [0, 1, 2]\n",
    "\n",
    "for beta in betas:\n",
    "    signal = PinkNoise(beta=beta)\n",
    "    wave = signal.make_wave(duration=0.5, framerate=1024)\n",
    "    spectrum = wave.make_spectrum()\n",
    "    spectrum.hs[0] = 0\n",
    "    label = f'beta={beta}'\n",
    "    spectrum.plot_power(linewidth=1, alpha=0.7, label=label)\n",
    "    \n",
    "decorate(xlabel='Frequency (Hz)',\n",
    "         ylabel='Power',\n",
    "         **loglog)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Uncorrelated Gaussian noise\n",
    "\n",
    "An alternative to UU noise is uncorrelated Gaussian (UG noise)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from thinkdsp import UncorrelatedGaussianNoise\n",
    "\n",
    "signal = UncorrelatedGaussianNoise()\n",
    "wave = signal.make_wave(duration=0.5, framerate=11025)\n",
    "wave.plot(linewidth=0.5)\n",
    "decorate(xlabel='Time (s)',\n",
    "         ylabel='Amplitude')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The spectrum of UG noise is also UG noise."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "spectrum = wave.make_spectrum()\n",
    "spectrum.plot_power(linewidth=1)\n",
    "decorate(xlabel='Frequency (Hz)',\n",
    "         ylabel='Power')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can use a normal probability plot to test the distribution of the power spectrum."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "def normal_prob_plot(sample, fit_color='0.8', **options):\n",
    "    \"\"\"Makes a normal probability plot with a fitted line.\n",
    "\n",
    "    sample: sequence of numbers\n",
    "    fit_color: color string for the fitted line\n",
    "    options: passed along to Plot\n",
    "    \"\"\"\n",
    "    n = len(sample)\n",
    "    xs = np.random.normal(0, 1, n)\n",
    "    xs.sort()\n",
    "    \n",
    "    ys = np.sort(sample)\n",
    "    \n",
    "    mean, std = np.mean(sample), np.std(sample)\n",
    "    fit_ys = mean + std * xs\n",
    "    plt.plot(xs, fit_ys, color='gray', alpha=0.5, label='model')\n",
    "\n",
    "    plt.plot(xs, ys, **options)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "normal_prob_plot(spectrum.real, color='C0', label='real part')\n",
    "decorate(xlabel='Normal sample',\n",
    "         ylabel='Power')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A straight line on a normal probability plot indicates that the distribution of the real part of the spectrum is Gaussian."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "normal_prob_plot(spectrum.imag, color='C1', label='imag part')\n",
    "decorate(xlabel='Normal sample',\n",
    "         ylabel='Power')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And so is the imaginary part."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
